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112112012222112 = 25377313975121893
BaseRepresentation
bin11001011111011100011100…
…101010011101111010100000
3112200221210200220011002021010
4121133130130222131322200
5104143320400112101422
61034235314123300520
732420553114303060
oct3137343452357240
9480853626132233
10112112012222112
11327a448a166371
12106a808607a740
134a7316ab98ba6
141d98370d313a0
15ce64562b1b0c
hex65f71ca9dea0

112112012222112 has 384 divisors, whose sum is σ = 343869167738880. Its totient is φ = 31322723328000.

The previous prime is 112112012222087. The next prime is 112112012222113. The reversal of 112112012222112 is 211222210211211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (112112012222113) 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, 5120895838 + ... + 5120917730.

It is an arithmetic number, because the mean of its divisors is an integer number (895492624320).

Almost surely, 2112112012222112 is an apocalyptic number.

112112012222112 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 112112012222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171934583869440).

112112012222112 is an abundant number, since it is smaller than the sum of its proper divisors (231757155516768).

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

112112012222112 is a wasteful number, since it uses less digits than its factorization.

112112012222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22876 (or 22868 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 112112012222112 its reverse (211222210211211), we get a palindrome (323334222433323).

The spelling of 112112012222112 in words is "one hundred twelve trillion, one hundred twelve billion, twelve million, two hundred twenty-two thousand, one hundred twelve".