112190879120 has 80 divisors (see below), whose sum is σ = 266870566512. Its totient is φ = 43846533120.

The previous prime is 112190879093. The next prime is 112190879131. The reversal of 112190879120 is 21978091211.

It can be written as a sum of positive squares in 8 ways, for example, as 19151238544 + 93039640576 = 138388^2 + 305024^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×112190879120⁴ (a number of 45 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 966944 + ... + 1076736.

Almost surely, 2^112190879120 is an apocalyptic number.

112190879120 is a gapful number since it is divisible by the number (10) 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 112190879120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133435283256).

112190879120 is an abundant number, since it is smaller than the sum of its proper divisors (154679687392).

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

112190879120 is a wasteful number, since it uses less digits than its factorization.

112190879120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110100 (or 110094 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 41.

The spelling of 112190879120 in words is "one hundred twelve billion, one hundred ninety million, eight hundred seventy-nine thousand, one hundred twenty".