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12031332003132 = 22313231349548351
BaseRepresentation
bin1010111100010100001101…
…0001010010110100111100
31120121011222012202202221220
42233011003101102310330
53034110131443100012
641331041223353340
72351143423442301
oct257050321226474
946534865682856
1012031332003132
113919506294572
1214239048b2850
1369371ba16600
142d8468cb90a8
1515ce6895c08c
hexaf143452d3c

12031332003132 has 144 divisors (see below), whose sum is σ = 31469263257600. Its totient is φ = 3572258976000.

The previous prime is 12031332003113. The next prime is 12031332003181. The reversal of 12031332003132 is 23130023313021.

It is a congruent number.

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, 21666757 + ... + 22215107.

It is an arithmetic number, because the mean of its divisors is an integer number (218536550400).

Almost surely, 212031332003132 is an apocalyptic number.

12031332003132 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 12031332003132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15734631628800).

12031332003132 is an abundant number, since it is smaller than the sum of its proper divisors (19437931254468).

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

12031332003132 is a wasteful number, since it uses less digits than its factorization.

12031332003132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548764 (or 548749 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 12031332003132 its reverse (23130023313021), we get a palindrome (35161355316153).

The spelling of 12031332003132 in words is "twelve trillion, thirty-one billion, three hundred thirty-two million, three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 169 186 338 349 372 403 507 676 698 806 1014 1047 1209 1396 1612 2028 2094 2418 4188 4537 4836 5239 9074 10478 10819 13611 15717 18148 20956 21638 27222 31434 32457 43276 54444 58981 62868 64914 117962 129828 140647 176943 235924 281294 353886 421941 548351 562588 707772 843882 1096702 1645053 1687764 1828411 2193404 3290106 3656822 5485233 6580212 7128563 7313644 10970466 14257126 16998881 21385689 21940932 28514252 33997762 42771378 50996643 67995524 85542756 92671319 101993286 185342638 191374499 203986572 220985453 278013957 370685276 382748998 441970906 556027914 574123497 662956359 765497996 883941812 1112055828 1148246994 1325912718 2296493988 2487868487 2651825436 2872810889 4975736974 5745621778 5932609469 7463605461 8618432667 9951473948 11491243556 11865218938 14927210922 17236865334 17797828407 23730437876 29854421844 32342290331 34473730668 35595656814 64684580662 71191313628 77123923097 97026870993 129369161324 154247846194 194053741986 231371769291 308495692388 388107483972 462743538582 925487077164 1002611000261 2005222000522 3007833000783 4010444001044 6015666001566 12031332003132