10890122112 has 320 divisors, whose sum is σ = 33561847440. Its totient is φ = 3503554560.

The previous prime is 10890122077. The next prime is 10890122141. The reversal of 10890122112 is 21122109801.

It is a super-2 number, since 2×10890122112² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42373888 + ... + 42374144.

Almost surely, 2^10890122112 is an apocalyptic number.

10890122112 is a gapful number since it is divisible by the number (12) 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 10890122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16780923720).

10890122112 is an abundant number, since it is smaller than the sum of its proper divisors (22671725328).

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

10890122112 is an equidigital number, since it uses as much as digits as its factorization.

10890122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 10890122112 in words is "ten billion, eight hundred ninety million, one hundred twenty-two thousand, one hundred twelve".