1112935680000 has 480 divisors, whose sum is σ = 4119786871200. Its totient is φ = 296773632000.

The previous prime is 1112935679987. The next prime is 1112935680061. The reversal of 1112935680000 is 865392111.

1112935680000 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 93 + 568 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 39 ways as a sum of consecutive naturals, for example, 34543899 + ... + 34576101.

It is an arithmetic number, because the mean of its divisors is an integer number (8582889315).

Almost surely, 2^{1112935680000} is an apocalyptic number.

1112935680000 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 1112935680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059893435600).

1112935680000 is an abundant number, since it is smaller than the sum of its proper divisors (3006851191200).

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

1112935680000 is an frugal number, since it uses more digits than its factorization.

1112935680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32254 (or 32213 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 1112935680000 in words is "one trillion, one hundred twelve billion, nine hundred thirty-five million, six hundred eighty thousand".