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112220211120 = 24354127142083
BaseRepresentation
bin110100010000011011…
…0001000011110110000
3101201122211010101110120
41220200312020132300
53314311333223440
6123315300330240
711051631025113
oct1504066103660
9351584111416
10112220211120
1143657424636
12198ba3a3980
13a775486ab4
14560800257a
152dbbea7dd0
hex1a20d887b0

112220211120 has 160 divisors (see below), whose sum is σ = 357691106304. Its totient is φ = 29087078400.

The previous prime is 112220211109. The next prime is 112220211127. The reversal of 112220211120 is 21112022211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112220211120.

It is not an unprimeable number, because it can be changed into a prime (112220211127) 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, 2645599 + ... + 2687681.

Almost surely, 2112220211120 is an apocalyptic number.

112220211120 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 112220211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178845553152).

112220211120 is an abundant number, since it is smaller than the sum of its proper divisors (245470895184).

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

112220211120 is a wasteful number, since it uses less digits than its factorization.

112220211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42411 (or 42405 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112220211120 its reverse (21112022211), we get a palindrome (133332233331).

The spelling of 112220211120 in words is "one hundred twelve billion, two hundred twenty million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 271 328 410 492 542 615 656 813 820 984 1084 1230 1355 1626 1640 1968 2168 2460 2710 3252 3280 4065 4336 4920 5420 6504 8130 9840 10840 11111 13008 16260 21680 22222 32520 33333 42083 44444 55555 65040 66666 84166 88888 111110 126249 133332 166665 168332 177776 210415 222220 252498 266664 333330 336664 420830 444440 504996 533328 631245 666660 673328 841660 888880 1009992 1262490 1333320 1683320 1725403 2019984 2524980 2666640 3366640 3450806 5049960 5176209 6901612 8627015 10099920 10352418 11404493 13803224 17254030 20704836 22808986 25881045 27606448 34213479 34508060 41409672 45617972 51762090 57022465 68426958 69016120 82819344 91235944 103524180 114044930 136853916 138032240 171067395 182471888 207048360 228089860 273707832 342134790 414096720 456179720 467584213 547415664 684269580 912359440 935168426 1368539160 1402752639 1870336852 2337921065 2737078320 2805505278 3740673704 4675842130 5611010556 7013763195 7481347408 9351684260 11222021112 14027526390 18703368520 22444042224 28055052780 37406737040 56110105560 112220211120