112778001600 has 504 divisors, whose sum is σ = 408751119504. Its totient is φ = 27202560000.

The previous prime is 112778001593. The next prime is 112778001631. The reversal of 112778001600 is 6100877211.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 160881250 + ... + 160881950.

It is an arithmetic number, because the mean of its divisors is an integer number (811014126).

Almost surely, 2^112778001600 is an apocalyptic number.

112778001600 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 112778001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204375559752).

112778001600 is an abundant number, since it is smaller than the sum of its proper divisors (295973117904).

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

112778001600 is a wasteful number, since it uses less digits than its factorization.

112778001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 33.

Adding to 112778001600 its reverse (6100877211), we get a palindrome (118878878811).

The spelling of 112778001600 in words is "one hundred twelve billion, seven hundred seventy-eight million, one thousand, six hundred".