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112112313012 = 223272292718087
BaseRepresentation
bin110100001101001101…
…0100010001010110100
3101201101022002121002100
41220122122202022310
53314101223004022
6123300443542100
711046150636300
oct1503232421264
9351338077070
10112112313012
1143601529147
121988a22a930
13a75900936b
1455d7956d00
152db27931ac
hex1a1a6a22b4

112112313012 has 216 divisors, whose sum is σ = 342332040960. Its totient is φ = 30809600640.

The previous prime is 112112313011. The next prime is 112112313067. The reversal of 112112313012 is 210313211211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112112313011) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13859233 + ... + 13867319.

It is an arithmetic number, because the mean of its divisors is an integer number (1584870560).

Almost surely, 2112112313012 is an apocalyptic number.

112112313012 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 112112313012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171166020480).

112112313012 is an abundant number, since it is smaller than the sum of its proper divisors (230219727948).

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

112112313012 is a wasteful number, since it uses less digits than its factorization.

112112313012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8411 (or 8399 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 112112313012 its reverse (210313211211), we get a palindrome (322425524223).

The spelling of 112112313012 in words is "one hundred twelve billion, one hundred twelve million, three hundred thirteen thousand, twelve".