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112202021211012 = 22325952979972779
BaseRepresentation
bin11001100000110000010001…
…100111100000101110000100
3112201021102000202221110211200
4121200300101213200232010
5104201304214412223022
61034344521424302500
732430220453135245
oct3140602147405604
9481242022843750
10112202021211012
11328296789669a7
1210701605a71a30
134a7b7b3817735
141d9c86d0ccccc
15ce8973316bac
hex660c119e0b84

112202021211012 has 72 divisors (see below), whose sum is σ = 288483404882400. Its totient is φ = 36759819272448.

The previous prime is 112202021210897. The next prime is 112202021211019. The reversal of 112202021211012 is 210112120202211.

112202021211012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (112202021211019) 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, 6264439 + ... + 16237217.

It is an arithmetic number, because the mean of its divisors is an integer number (4006713956700).

Almost surely, 2112202021211012 is an apocalyptic number.

112202021211012 is a gapful number since it is divisible by the number (12) 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 112202021211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144241702441200).

112202021211012 is an abundant number, since it is smaller than the sum of its proper divisors (176281383671388).

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

112202021211012 is a wasteful number, since it uses less digits than its factorization.

112202021211012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9978145 (or 9978140 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112202021211012 its reverse (210112120202211), we get a palindrome (322314141413223).

The spelling of 112202021211012 in words is "one hundred twelve trillion, two hundred two billion, twenty-one million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 5297 10594 15891 21188 31782 47673 63564 95346 190692 312523 625046 937569 1250092 1875138 2812707 3750276 5625414 9972779 11250828 19945558 29918337 39891116 59836674 89755011 119673348 179510022 359020044 588393961 1176787922 1765181883 2353575844 3530363766 5295545649 7060727532 10591091298 21182182596 52825810363 105651620726 158477431089 211303241452 316954862178 475432293267 633909724356 950864586534 1901729173068 3116722811417 6233445622834 9350168434251 12466891245668 18700336868502 28050505302753 37400673737004 56101010605506 112202021211012