112121110920 has 256 divisors, whose sum is σ = 414288161280. Its totient is φ = 23639040000.

The previous prime is 112121110891. The next prime is 112121110921. The reversal of 112121110920 is 29011121211.

It is a super-2 number, since 2×112121110920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (112121110921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19664070 + ... + 19669770.

It is an arithmetic number, because the mean of its divisors is an integer number (1618313130).

Almost surely, 2^112121110920 is an apocalyptic number.

112121110920 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 112121110920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207144080640).

112121110920 is an abundant number, since it is smaller than the sum of its proper divisors (302167050360).

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

112121110920 is a wasteful number, since it uses less digits than its factorization.

112121110920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7536 (or 7532 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 21.

The spelling of 112121110920 in words is "one hundred twelve billion, one hundred twenty-one million, one hundred ten thousand, nine hundred twenty".