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112120987940040 = 233541119827190181
BaseRepresentation
bin11001011111100100110011…
…101010000111010011001000
3112200222122212102112210112110
4121133210303222013103020
5104143442240403040130
61034243400520142320
732421321413531652
oct3137446352072310
9480878772483473
10112120987940040
11327a8275782072
12106a99700079a0
134a73c6b5c69a1
141d989830256d2
15ce67ce293ab0
hex65f933a874c8

112120987940040 has 128 divisors (see below), whose sum is σ = 344571625883520. Its totient is φ = 29169291110400.

The previous prime is 112120987940033. The next prime is 112120987940041. The reversal of 112120987940040 is 40049789021211.

112120987940040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1121209879400402 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112120987940041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 589453750 + ... + 589643930.

It is an arithmetic number, because the mean of its divisors is an integer number (2691965827215).

Almost surely, 2112120987940040 is an apocalyptic number.

112120987940040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112120987940040 is an abundant number, since it is smaller than the sum of its proper divisors (232450637943480).

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

112120987940040 is a wasteful number, since it uses less digits than its factorization.

112120987940040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310063 (or 310059 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 112120987940040 in words is "one hundred twelve trillion, one hundred twenty billion, nine hundred eighty-seven million, nine hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4920 119827 190181 239654 359481 380362 479308 570543 599135 718962 760724 950905 958616 1141086 1198270 1437924 1521448 1797405 1901810 2282172 2396540 2852715 2875848 3594810 3803620 4564344 4793080 4912907 5705430 7189620 7607240 7797421 9825814 11410860 14379240 14738721 15594842 19651628 22821720 23392263 24564535 29477442 31189684 38987105 39303256 46784526 49129070 58954884 62379368 73693605 77974210 93569052 98258140 116961315 117909768 147387210 155948420 187138104 196516280 233922630 294774420 311896840 467845260 589548840 935690520 22788818687 45577637374 68366456061 91155274748 113944093435 136732912122 182310549496 227888186870 273465824244 341832280305 455776373740 546931648488 683664560610 911552747480 934341566167 1367329121220 1868683132334 2734658242440 2803024698501 3737366264668 4671707830835 5606049397002 7474732529336 9343415661670 11212098794004 14015123492505 18686831323340 22424197588008 28030246985010 37373662646680 56060493970020 112120987940040