112010702400 has 189 divisors, whose sum is σ = 398255278291. Its totient is φ = 29858810880.

The previous prime is 112010702389. The next prime is 112010702431. The reversal of 112010702400 is 4207010211.

The square root of 112010702400 is 334680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 16064064 + 111994638336 = 4008^2 + 334656^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40160206 + ... + 40162994.

Almost surely, 2^112010702400 is an apocalyptic number.

112010702400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112010702400 is the 334680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112010702400

112010702400 is an abundant number, since it is smaller than the sum of its proper divisors (286244575891).

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

112010702400 is an frugal number, since it uses more digits than its factorization.

112010702400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5606 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

Adding to 112010702400 its reverse (4207010211), we get a palindrome (116217712611).

The spelling of 112010702400 in words is "one hundred twelve billion, ten million, seven hundred two thousand, four hundred".