112279061700 has 864 divisors, whose sum is σ = 416146698240. Its totient is φ = 25082265600.

The previous prime is 112279061669. The next prime is 112279061717. The reversal of 112279061700 is 7160972211.

It is a happy number.

112279061700 is a `hidden beast` number, since 1 + 12 + 27 + 9 + 0 + 617 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 884087037 + ... + 884087163.

Almost surely, 2^112279061700 is an apocalyptic number.

112279061700 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 112279061700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208073349120).

112279061700 is an abundant number, since it is smaller than the sum of its proper divisors (303867636540).

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

112279061700 is a wasteful number, since it uses less digits than its factorization.

112279061700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 112279061700 in words is "one hundred twelve billion, two hundred seventy-nine million, sixty-one thousand, seven hundred".