112975827300000 has 2592 divisors, whose sum is σ = 504943835026176. Its totient is φ = 24287247360000.

The previous prime is 112975827299971. The next prime is 112975827300023. The reversal of 112975827300000 is 3728579211.

112975827300000 is a `hidden beast` number, since 1 + 1 + 297 + 58 + 2 + 7 + 300 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 78075899277 + ... + 78075900723.

It is an arithmetic number, because the mean of its divisors is an integer number (194808578328).

Almost surely, 2^{112975827300000} is an apocalyptic number.

112975827300000 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 112975827300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252471917513088).

112975827300000 is an abundant number, since it is smaller than the sum of its proper divisors (391968007726176).

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

112975827300000 is an frugal number, since it uses more digits than its factorization.

112975827300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 112975827300000 in words is "one hundred twelve trillion, nine hundred seventy-five billion, eight hundred twenty-seven million, three hundred thousand".