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126021411252 = 223411118729789
BaseRepresentation
bin111010101011101110…
…1100010000110110100
3110001021122111222220000
41311113131202012310
54031042440130002
6133520552111300
712050633215152
oct1652735420664
9401248458800
10126021411252
114949988a560
1220510395530
13bb6483b9c9
146156d2a3d2
15342891c61c
hex1d577621b4

126021411252 has 120 divisors (see below), whose sum is σ = 359709245280. Its totient is φ = 38154853440.

The previous prime is 126021411233. The next prime is 126021411277. The reversal of 126021411252 is 252114120621.

It is a happy number.

126021411252 is a `hidden beast` number, since 1 + 2 + 602 + 1 + 4 + 1 + 1 + 2 + 52 = 666.

126021411252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1260214112523 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4215574 + ... + 4245362.

It is an arithmetic number, because the mean of its divisors is an integer number (2997577044).

Almost surely, 2126021411252 is an apocalyptic number.

126021411252 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 126021411252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179854622640).

126021411252 is an abundant number, since it is smaller than the sum of its proper divisors (233687834028).

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

126021411252 is a wasteful number, since it uses less digits than its factorization.

126021411252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31003 (or 30992 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 126021411252 its reverse (252114120621), we get a palindrome (378135531873).

The spelling of 126021411252 in words is "one hundred twenty-six billion, twenty-one million, four hundred eleven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1187 1188 1782 2374 3561 3564 4748 7122 10683 13057 14244 21366 26114 29789 32049 39171 42732 52228 59578 64098 78342 89367 96147 117513 119156 128196 156684 178734 192294 235026 268101 327679 352539 357468 384588 470052 536202 655358 705078 804303 983037 1057617 1072404 1310716 1410156 1608606 1966074 2115234 2412909 2949111 3217212 3932148 4230468 4825818 5898222 8847333 9651636 11796444 17694666 26541999 35359543 35389332 53083998 70719086 106078629 106167996 141438172 212157258 318235887 388954973 424314516 636471774 777909946 954707661 1166864919 1272943548 1555819892 1909415322 2333729838 2864122983 3500594757 3818830644 4667459676 5728245966 7001189514 10501784271 11456491932 14002379028 21003568542 31505352813 42007137084 63010705626 126021411252