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112112212200 = 233524167251271
BaseRepresentation
bin110100001101001101…
…0001001100011101000
3101201101021220110210120
41220122122021203220
53314101211242300
6123300441443240
711046150036342
oct1503232114350
9351337813716
10112112212200
114360146a42a
121988a1a0520
13a758ca2501
1455d792c292
152db27733a0
hex1a1a6898e8

112112212200 has 384 divisors, whose sum is σ = 364116695040. Its totient is φ = 28512000000.

The previous prime is 112112212181. The next prime is 112112212211. The reversal of 112112212200 is 2212211211.

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 112112212200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 413698065 + ... + 413698335.

It is an arithmetic number, because the mean of its divisors is an integer number (948220560).

Almost surely, 2112112212200 is an apocalyptic number.

112112212200 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 112112212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182058347520).

112112212200 is an abundant number, since it is smaller than the sum of its proper divisors (252004482840).

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

112112212200 is a wasteful number, since it uses less digits than its factorization.

112112212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 640 counting only the distinct ones).

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

Adding to 112112212200 its reverse (2212211211), we get a palindrome (114324423411).

The spelling of 112112212200 in words is "one hundred twelve billion, one hundred twelve million, two hundred twelve thousand, two hundred".