112821728760 has 768 divisors, whose sum is σ = 437518972800. Its totient is φ = 24946016256.

The previous prime is 112821728717. The next prime is 112821728779. The reversal of 112821728760 is 67827128211.

It is a super-2 number, since 2×112821728760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 246874452 + ... + 246874908.

Almost surely, 2^112821728760 is an apocalyptic number.

112821728760 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 112821728760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218759486400).

112821728760 is an abundant number, since it is smaller than the sum of its proper divisors (324697244040).

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

112821728760 is a wasteful number, since it uses less digits than its factorization.

112821728760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 112821728760 in words is "one hundred twelve billion, eight hundred twenty-one million, seven hundred twenty-eight thousand, seven hundred sixty".