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112112212122 = 2326228456229
BaseRepresentation
bin110100001101001101…
…0001001100010011010
3101201101021220110200200
41220122122021202122
53314101211241442
6123300441443030
711046150036201
oct1503232114232
9351337813620
10112112212122
114360146a369
121988a1a0476
13a758ca2471
1455d792c238
152db277334c
hex1a1a68989a

112112212122 has 12 divisors (see below), whose sum is σ = 242909792970. Its totient is φ = 37370737368.

The previous prime is 112112212073. The next prime is 112112212123. The reversal of 112112212122 is 221212211211.

It can be written as a sum of positive squares in only one way, i.e., 71053700481 + 41058511641 = 266559^2 + 202629^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 6228456229 = 112112212122 / (1 + 1 + 2 + 1 + 1 + 2 + 2 + 1 + 2 + 1 + 2 + 2).

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 = 112112212095 and 112112212104.

It is not an unprimeable number, because it can be changed into a prime (112112212123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3114228097 + ... + 3114228132.

Almost surely, 2112112212122 is an apocalyptic number.

112112212122 is an abundant number, since it is smaller than the sum of its proper divisors (130797580848).

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

112112212122 is a wasteful number, since it uses less digits than its factorization.

112112212122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6228456237 (or 6228456234 counting only the distinct ones).

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

Adding to 112112212122 its reverse (221212211211), we get a palindrome (333324423333).

The spelling of 112112212122 in words is "one hundred twelve billion, one hundred twelve million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 6228456229 12456912458 18685368687 37370737374 56056106061 112112212122