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12150256412052 = 223211151793725601
BaseRepresentation
bin1011000011001111001110…
…1101111010010110010100
31121000112221021000200212200
42300303303231322112110
53043032211120141202
641501430054244500
72362553452312533
oct260636355722624
947015837020780
1012150256412052
113964992a96140
121442974356730
136a19c2118145
1430010b43831a
151610c929de1c
hexb0cf3b7a594

12150256412052 has 144 divisors (see below), whose sum is σ = 33732708557184. Its totient is φ = 3656908800000.

The previous prime is 12150256412029. The next prime is 12150256412053. The reversal of 12150256412052 is 25021465205121.

12150256412052 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 0 + 2 + 5 + 641 + 2 + 0 + 5 + 2 = 666.

It is a super-2 number, since 2×121502564120522 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12150256411998 and 12150256412016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12150256412053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 474588052 + ... + 474613652.

It is an arithmetic number, because the mean of its divisors is an integer number (234254920536).

Almost surely, 212150256412052 is an apocalyptic number.

12150256412052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12150256412052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16866354278592).

12150256412052 is an abundant number, since it is smaller than the sum of its proper divisors (21582452145132).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12150256412052 is a wasteful number, since it uses less digits than its factorization.

12150256412052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33710 (or 33705 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 12150256412052 in words is "twelve trillion, one hundred fifty billion, two hundred fifty-six million, four hundred twelve thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 151 198 302 396 453 604 906 1359 1661 1812 2718 3322 4983 5436 6644 7937 9966 14949 15874 19932 23811 25601 29898 31748 47622 51202 59796 71433 76803 87307 95244 102404 142866 153606 174614 230409 261921 281611 285732 307212 349228 460818 523842 563222 785763 844833 921636 1047684 1126444 1198487 1571526 1689666 2396974 2534499 3143052 3379332 3595461 3865751 4793948 5068998 7190922 7731502 10137996 10786383 11597253 13183357 14381844 15463004 21572766 23194506 26366714 34791759 39550071 42523261 43145532 46389012 52733428 69583518 79100142 85046522 118650213 127569783 139167036 158200284 170093044 203195137 237300426 255139566 382709349 406390274 474600852 510279132 609585411 765418698 812780548 1219170822 1530837396 1828756233 2235146507 2438341644 3657512466 4470293014 6705439521 7315024932 8940586028 13410879042 20116318563 26821758084 30682465687 40232637126 61364931374 80465274252 92047397061 122729862748 184094794122 276142191183 337507122557 368189588244 552284382366 675014245114 1012521367671 1104568764732 1350028490228 2025042735342 3037564103013 4050085470684 6075128206026 12150256412052