1112175904320 has 560 divisors, whose sum is σ = 4298379790320. Its totient is φ = 271334375424.

The previous prime is 1112175904283. The next prime is 1112175904331. The reversal of 1112175904320 is 234095712111.

It is a happy number.

1112175904320 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 1 + 7 + 590 + 43 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 390845030976 + 721330873344 = 625176^2 + 849312^2 .

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 79 ways as a sum of consecutive naturals, for example, 38061876 + ... + 38091084.

It is an arithmetic number, because the mean of its divisors is an integer number (7675678197).

Almost surely, 2^{1112175904320} is an apocalyptic number.

1112175904320 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 1112175904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2149189895160).

1112175904320 is an abundant number, since it is smaller than the sum of its proper divisors (3186203886000).

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

1112175904320 is a wasteful number, since it uses less digits than its factorization.

1112175904320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29364 (or 29345 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 1112175904320 in words is "one trillion, one hundred twelve billion, one hundred seventy-five million, nine hundred four thousand, three hundred twenty".