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12031191120 = 2435132296627
BaseRepresentation
bin10110011010001110…
…10110100001010000
31011001110210211112010
423031013112201100
5144114441103440
65305502102520
7604100302644
oct131507264120
934043724463
1012031191120
115114325a63
1223b927aa40
131199765a00
14821c1ac24
154a6382580
hex2cd1d6850

12031191120 has 120 divisors (see below), whose sum is σ = 40386495456. Its totient is φ = 2961513984.

The previous prime is 12031191113. The next prime is 12031191121. The reversal of 12031191120 is 2119113021.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12031191121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107754 + ... + 188873.

Almost surely, 212031191120 is an apocalyptic number.

12031191120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12031191120 is an abundant number, since it is smaller than the sum of its proper divisors (28355304336).

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

12031191120 is a wasteful number, since it uses less digits than its factorization.

12031191120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296669 (or 296650 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

The spelling of 12031191120 in words is "twelve billion, thirty-one million, one hundred ninety-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 169 195 208 240 260 312 338 390 507 520 624 676 780 845 1014 1040 1352 1560 1690 2028 2535 2704 3120 3380 4056 5070 6760 8112 10140 13520 20280 40560 296627 593254 889881 1186508 1483135 1779762 2373016 2966270 3559524 3856151 4449405 4746032 5932540 7119048 7712302 8898810 11568453 11865080 14238096 15424604 17797620 19280755 23136906 23730160 30849208 35595240 38561510 46273812 50129963 57842265 61698416 71190480 77123020 92547624 100259926 115684530 150389889 154246040 185095248 200519852 231369060 250649815 300779778 308492080 401039704 462738120 501299630 601559556 751949445 802079408 925476240 1002599260 1203119112 1503898890 2005198520 2406238224 3007797780 4010397040 6015595560 12031191120