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132121231023012 = 223711320057446759
BaseRepresentation
bin11110000010100111011111…
…000010101101101110100100
3122022210122222202102012100020
4132002213133002231232210
5114304133240120214022
61144555353340315140
736554305161666360
oct3602473702555644
9568718882365306
10132121231023012
1139109332578a20
1212999b90b42ab0
135894c9506a8aa
14248a9b767c2a0
151041b9a64435c
hex7829df0adba4

132121231023012 has 96 divisors (see below), whose sum is σ = 384354733271040. Its totient is φ = 34317018827520.

The previous prime is 132121231022999. The next prime is 132121231023031. The reversal of 132121231023012 is 210320132121231.

It is a super-2 number, since 2×1321212310230122 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295509289 + ... + 295956047.

It is an arithmetic number, because the mean of its divisors is an integer number (4003695138240).

Almost surely, 2132121231023012 is an apocalyptic number.

132121231023012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132121231023012 is an abundant number, since it is smaller than the sum of its proper divisors (252233502248028).

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

132121231023012 is a wasteful number, since it uses less digits than its factorization.

132121231023012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766841 (or 766839 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 132121231023012 its reverse (210320132121231), we get a palindrome (342441363144243).

The spelling of 132121231023012 in words is "one hundred thirty-two trillion, one hundred twenty-one billion, two hundred thirty-one million, twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 320057 446759 640114 893518 960171 1280228 1340277 1787036 1920342 2240399 2680554 3127313 3520627 3840684 4480798 4914349 5361108 6254626 6721197 7041254 8961596 9381939 9828698 10561881 12509252 13442394 14082508 14743047 18763878 19657396 21123762 24644389 26884788 29486094 34400443 37527756 42247524 49288778 58972188 68800886 73933167 98577556 103201329 137601772 147866334 206402658 295732668 412805316 142988345263 285976690526 428965035789 571953381052 857930071578 1000918416841 1572871797893 1715860143156 2001836833682 3002755250523 3145743595786 4003673667364 4718615393679 6005510501046 6291487191572 9437230787358 11010102585251 12011021002092 18874461574716 22020205170502 33030307755753 44040410341004 66060615511506 132121231023012