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112012121021120 = 2651738215388763
BaseRepresentation
bin11001011101111111011010…
…101011110001101011000000
3112200121020212022020022012022
4121131333122223301223000
5104140201310440133440
61034121354044221012
732410415531144615
oct3135773253615300
9480536768208168
10112012121021120
113276608a191601
121069084883a768
134a6690ba90c78
141d935b651250c
15ce3a5b8b8cb5
hex65dfdaaf1ac0

112012121021120 has 112 divisors (see below), whose sum is σ = 282492761005728. Its totient is φ = 42158225080320.

The previous prime is 112012121021117. The next prime is 112012121021131. The reversal of 112012121021120 is 21120121210211.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18091859 + ... + 23480621.

It is an arithmetic number, because the mean of its divisors is an integer number (2522256794694).

Almost surely, 2112012121021120 is an apocalyptic number.

112012121021120 is a gapful number since it is divisible by the number (10) 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 112012121021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141246380502864).

112012121021120 is an abundant number, since it is smaller than the sum of its proper divisors (170480639984608).

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

112012121021120 is a wasteful number, since it uses less digits than its factorization.

112012121021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5392618 (or 5392608 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 112012121021120 its reverse (21120121210211), we get a palindrome (133132242231331).

The spelling of 112012121021120 in words is "one hundred twelve trillion, twelve billion, one hundred twenty-one million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 3821 5440 7642 15284 19105 30568 38210 61136 64957 76420 122272 129914 152840 244544 259828 305680 324785 519656 611360 649570 1039312 1222720 1299140 2078624 2598280 4157248 5196560 5388763 10393120 10777526 20786240 21555052 26943815 43110104 53887630 86220208 91608971 107775260 172440416 183217942 215550520 344880832 366435884 431101040 458044855 732871768 862202080 916089710 1465743536 1724404160 1832179420 2931487072 3664358840 5862974144 7328717680 14657435360 20590463423 29314870720 41180926846 82361853692 102952317115 164723707384 205904634230 329447414768 350037878191 411809268460 658894829536 700075756382 823618536920 1317789659072 1400151512764 1647237073840 1750189390955 2800303025528 3294474147680 3500378781910 5600606051056 6588948295360 7000757563820 11201212102112 14001515127640 22402424204224 28003030255280 56006060510560 112012121021120