112907503800 has 1920 divisors, whose sum is σ = 529341120000. Its totient is φ = 21633454080.

The previous prime is 112907503729. The next prime is 112907503823. The reversal of 112907503800 is 8305709211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 812284131 + ... + 812284269.

It is an arithmetic number, because the mean of its divisors is an integer number (275698500).

Almost surely, 2^112907503800 is an apocalyptic number.

112907503800 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 112907503800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264670560000).

112907503800 is an abundant number, since it is smaller than the sum of its proper divisors (416433616200).

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

112907503800 is a wasteful number, since it uses less digits than its factorization.

112907503800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 217 counting only the distinct ones).

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

The spelling of 112907503800 in words is "one hundred twelve billion, nine hundred seven million, five hundred three thousand, eight hundred".