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112112212212 = 2233711131954581
BaseRepresentation
bin110100001101001101…
…0001001100011110100
3101201101021220110211000
41220122122021203310
53314101211242322
6123300441443300
711046150036360
oct1503232114364
9351337813730
10112112212212
114360146a440
121988a1a0530
13a758ca2510
1455d792c2a0
152db27733ac
hex1a1a6898f4

112112212212 has 384 divisors, whose sum is σ = 410805964800. Its totient is φ = 25464844800.

The previous prime is 112112212211. The next prime is 112112212271. The reversal of 112112212212 is 212212211211.

112112212212 is a `hidden beast` number, since 11 + 211 + 221 + 221 + 2 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112112212211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2026762 + ... + 2081342.

It is an arithmetic number, because the mean of its divisors is an integer number (1069807200).

Almost surely, 2112112212212 is an apocalyptic number.

112112212212 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 112112212212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205402982400).

112112212212 is an abundant number, since it is smaller than the sum of its proper divisors (298693752588).

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

112112212212 is a wasteful number, since it uses less digits than its factorization.

112112212212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54644 (or 54636 counting only the distinct ones).

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

Adding to 112112212212 its reverse (212212211211), we get a palindrome (324324423423).

The spelling of 112112212212 in words is "one hundred twelve billion, one hundred twelve million, two hundred twelve thousand, two hundred twelve".