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12155154012 = 223219371034663
BaseRepresentation
bin10110101001000000…
…01110111001011100
31011101010001210122100
423110200032321130
5144343204412022
65330051045100
7610134050541
oct132440167134
934333053570
1012155154012
1151782a4131
1224328a0790
1311b9349631
14834488bc8
154b21bc1ac
hex2d480ee5c

12155154012 has 144 divisors (see below), whose sum is σ = 33546472960. Its totient is φ = 3697674624.

The previous prime is 12155153999. The next prime is 12155154013. The reversal of 12155154012 is 21045155121.

It is a happy number.

It is a super-2 number, since 2×121551540122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12155154013) 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, 2604393 + ... + 2609055.

Almost surely, 212155154012 is an apocalyptic number.

12155154012 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 12155154012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16773236480).

12155154012 is an abundant number, since it is smaller than the sum of its proper divisors (21391318948).

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

12155154012 is a wasteful number, since it uses less digits than its factorization.

12155154012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4832 (or 4827 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The spelling of 12155154012 in words is "twelve billion, one hundred fifty-five million, one hundred fifty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 37 38 57 74 76 103 111 114 148 171 206 222 228 309 333 342 412 444 618 666 684 703 927 1236 1332 1406 1854 1957 2109 2812 3708 3811 3914 4218 4663 5871 6327 7622 7828 8436 9326 11433 11742 12654 13989 15244 17613 18652 22866 23484 25308 27978 34299 35226 41967 45732 55956 68598 70452 72409 83934 88597 137196 144818 167868 172531 177194 217227 265791 289636 345062 354388 434454 480289 517593 531582 651681 690124 797373 868908 960578 1035186 1063164 1303362 1440867 1552779 1594746 1921156 2070372 2606724 2881734 3105558 3189492 3278089 4322601 5763468 6211116 6556178 8645202 9125491 9834267 13112356 17290404 17770693 18250982 19668534 27376473 29502801 35541386 36501964 39337068 53312079 54752946 59005602 71082772 82129419 106624158 109505892 118011204 159936237 164258838 213248316 319872474 328517676 337643167 639744948 675286334 1012929501 1350572668 2025859002 3038788503 4051718004 6077577006 12155154012