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12331002200132 = 22711217967221401
BaseRepresentation
bin1011001101110000100100…
…0000011000000001000100
31121122211110202010002001002
42303130021000120001010
53104012343030401012
642120441215552432
72411612505210110
oct263341100300104
947584422102032
1012331002200132
113a24604300a00
1214719b782b718
136b5a68410cc5
14308b762ca740
15165b571c17c2
hexb3709018044

12331002200132 has 144 divisors (see below), whose sum is σ = 28732212520704. Its totient is φ = 4516985088000.

The previous prime is 12331002200123. The next prime is 12331002200147. The reversal of 12331002200132 is 23100220013321.

It is a super-3 number, since 3×123310022001323 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55584632 + ... + 55806032.

It is an arithmetic number, because the mean of its divisors is an integer number (199529253616).

Almost surely, 212331002200132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12331002200132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14366106260352).

12331002200132 is an abundant number, since it is smaller than the sum of its proper divisors (16401210320572).

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

12331002200132 is a wasteful number, since it uses less digits than its factorization.

12331002200132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222418 (or 222405 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12331002200132 its reverse (23100220013321), we get a palindrome (35431222213453).

The spelling of 12331002200132 in words is "twelve trillion, three hundred thirty-one billion, two million, two hundred thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 121 154 187 238 242 308 374 476 484 748 847 967 1309 1694 1934 2057 2618 3388 3868 4114 5236 6769 8228 10637 13538 14399 16439 21274 27076 28798 32878 42548 57596 65756 74459 115073 117007 148918 180829 221401 230146 234014 297836 361658 442802 460292 468028 723316 819049 885604 1265803 1549807 1638098 1989119 2435411 2531606 3099614 3276196 3763817 3978238 4870822 5063212 6199228 7527634 7956476 9741644 13923833 15055268 17047877 26346719 26789521 27847666 34095754 41401987 52693438 53579042 55695332 68191508 82803974 105386876 107158084 165607948 187526647 214094767 289813909 375053294 428189534 455421857 579627818 750106588 856379068 910843714 1159255636 1498663369 1821687428 2355042437 2997326738 3187952999 3639611039 4710084874 5994653476 6375905998 7279222078 9420169748 12751811996 14558444156 16485297059 25477277273 25905466807 32970594118 40035721429 50954554546 51810933614 65941188236 80071442858 101909109092 103621867228 160142885716 181338267649 280250050003 362676535298 440392935719 560500100006 725353070596 880785871438 1121000200012 1761571742876 3082750550033 6165501100066 12331002200132