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12031987200 = 29352313333
BaseRepresentation
bin10110011010010100…
…11000111000000000
31011001112022021112120
423031022120320000
5144120142042300
65305531124240
7604110126612
oct131512307000
934045267476
1012031987200
11511481a082
1223b95a3680
13119998416c
14821d86db2
154a648d3a0
hex2cd298e00

12031987200 has 120 divisors (see below), whose sum is σ = 39747044568. Its totient is φ = 3208519680.

The previous prime is 12031987193. The next prime is 12031987243. The reversal of 12031987200 is 278913021.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118267 + ... + 195066.

Almost surely, 212031987200 is an apocalyptic number.

12031987200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12031987200 is an abundant number, since it is smaller than the sum of its proper divisors (27715057368).

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

12031987200 is an equidigital number, since it uses as much as digits as its factorization.

12031987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313364 (or 313343 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 12031987200 in words is "twelve billion, thirty-one million, nine hundred eighty-seven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 512 600 640 768 800 960 1200 1280 1536 1600 1920 2400 2560 3200 3840 4800 6400 7680 9600 12800 19200 38400 313333 626666 939999 1253332 1566665 1879998 2506664 3133330 3759996 4699995 5013328 6266660 7519992 7833325 9399990 10026656 12533320 15039984 15666650 18799980 20053312 23499975 25066640 30079968 31333300 37599960 40106624 46999950 50133280 60159936 62666600 75199920 80213248 93999900 100266560 120319872 125333200 150399840 160426496 187999800 200533120 240639744 250666400 300799680 375999600 401066240 481279488 501332800 601599360 751999200 802132480 1002665600 1203198720 1503998400 2005331200 2406397440 3007996800 4010662400 6015993600 12031987200