112730424400 has 180 divisors, whose sum is σ = 310640805216. Its totient is φ = 39210195200.

The previous prime is 112730424341. The next prime is 112730424419. The reversal of 112730424400 is 4424037211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1062567 + ... + 1163833.

Almost surely, 2^112730424400 is an apocalyptic number.

112730424400 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 112730424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155320402608).

112730424400 is an abundant number, since it is smaller than the sum of its proper divisors (197910380816).

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

112730424400 is a wasteful number, since it uses less digits than its factorization.

112730424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101330 (or 101308 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The spelling of 112730424400 in words is "one hundred twelve billion, seven hundred thirty million, four hundred twenty-four thousand, four hundred".