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112012099992 = 233513231071801
BaseRepresentation
bin110100001010001110…
…0010000000110011000
3101201010022112020200000
41220110130100012120
53313400044144432
6123242504013000
711043523066122
oct1502434200630
9351108466600
10112012099992
114355aa01671
1219860761160
13a74131c910
1455c850c212
152da8a9a57c
hex1a14710198

112012099992 has 384 divisors, whose sum is σ = 357034728960. Its totient is φ = 32640537600.

The previous prime is 112012099987. The next prime is 112012100021. The reversal of 112012099992 is 299990210211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62193492 + ... + 62195292.

It is an arithmetic number, because the mean of its divisors is an integer number (929777940).

Almost surely, 2112012099992 is an apocalyptic number.

112012099992 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 112012099992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178517364480).

112012099992 is an abundant number, since it is smaller than the sum of its proper divisors (245022628968).

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

112012099992 is a wasteful number, since it uses less digits than its factorization.

112012099992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 45.

The spelling of 112012099992 in words is "one hundred twelve billion, twelve million, ninety-nine thousand, nine hundred ninety-two".