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112222221211122 = 2311173711069244217
BaseRepresentation
bin11001100001000011000101…
…101000011001010111110010
3112201100100011112210210122220
4121201003011220121113302
5104202122102112223442
61034402102100341510
732431534154246661
oct3141030550312762
9481310145723586
10112222221211122
11328371a4278a70
12107055029a4896
134a80682779719
141d9d827b96dd8
15ce92568dbeec
hex6610c5a195f2

112222221211122 has 128 divisors (see below), whose sum is σ = 266283272136960. Its totient is φ = 31138360565760.

The previous prime is 112222221211097. The next prime is 112222221211123. The reversal of 112222221211122 is 221112122222211.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 112222221211092 and 112222221211101.

It is not an unprimeable number, because it can be changed into a prime (112222221211123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 459396358 + ... + 459640574.

It is an arithmetic number, because the mean of its divisors is an integer number (2080338063570).

Almost surely, 2112222221211122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112222221211122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133141636068480).

112222221211122 is an abundant number, since it is smaller than the sum of its proper divisors (154061050925838).

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

112222221211122 is a wasteful number, since it uses less digits than its factorization.

112222221211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255356.

The product of its digits is 512, while the sum is 24.

Adding to 112222221211122 its reverse (221112122222211), we get a palindrome (333334343433333).

The spelling of 112222221211122 in words is "one hundred twelve trillion, two hundred twenty-two billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 17 22 33 34 37 51 66 74 102 111 187 222 374 407 561 629 814 1122 1221 1258 1887 2442 3774 6919 11069 13838 20757 22138 33207 41514 66414 121759 188173 243518 244217 365277 376346 409553 488434 564519 730554 732651 819106 1129038 1228659 1465302 2069903 2457318 2686387 4139806 4151689 4505083 5372774 6209709 6962401 8059161 8303378 9010166 9036029 12419418 12455067 13515249 13924802 16118322 18072058 20887203 24910134 27030498 27108087 41774406 45668579 54216174 76586411 91337158 99396319 137005737 153172822 153612493 198792638 229759233 274011474 298188957 307224986 459518466 460837479 596377914 921674958 1689737423 2703237973 3379474846 5069212269 5406475946 8109713919 10138424538 16219427838 29735617703 45955045541 59471235406 89206853109 91910091082 100019805001 137865136623 178413706218 200039610002 275730273246 300059415003 505505500951 600118830006 1011011001902 1100217855011 1516516502853 1700336685017 2200435710022 3033033005706 3300653565033 3400673370034 5101010055051 6601307130066 10202020110102 18703703535187 37407407070374 56111110605561 112222221211122