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12132321012 = 22327254112713
BaseRepresentation
bin10110100110010010…
…01000011011110100
31011022112002202122200
423103021020123310
5144321333233022
65323513424500
7606436012200
oct132311103364
934275082580
1012132321012
115166419389
12242710b130
1311b46b3896
14831423b00
154b01abbac
hex2d32486f4

12132321012 has 108 divisors (see below), whose sum is σ = 35743554756. Its totient is φ = 3459697920.

The previous prime is 12132320999. The next prime is 12132321023. The reversal of 12132321012 is 21012323121.

12132321012 is a `hidden beast` number, since 121 + 323 + 210 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8709368976 + 3422952036 = 93324^2 + 58506^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 947968 + ... + 960680.

Almost surely, 212132321012 is an apocalyptic number.

12132321012 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 12132321012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17871777378).

12132321012 is an abundant number, since it is smaller than the sum of its proper divisors (23611233744).

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

12132321012 is a wasteful number, since it uses less digits than its factorization.

12132321012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13278 (or 13266 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12132321012 its reverse (21012323121), we get a palindrome (33144644133).

The spelling of 12132321012 in words is "twelve billion, one hundred thirty-two million, three hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 541 588 882 1082 1623 1764 2164 3246 3787 4869 6492 7574 9738 11361 12713 15148 19476 22722 25426 26509 34083 38139 45444 50852 53018 68166 76278 79527 88991 106036 114417 136332 152556 159054 177982 228834 238581 266973 318108 355964 457668 477162 533946 622937 800919 954324 1067892 1245874 1601838 1868811 2491748 3203676 3737622 5606433 6877733 7475244 11212866 13755466 20633199 22425732 27510932 41266398 48144131 61899597 82532796 96288262 123799194 144432393 192576524 247598388 288864786 337008917 433297179 577729572 674017834 866594358 1011026751 1348035668 1733188716 2022053502 3033080253 4044107004 6066160506 12132321012