10988120 has 128 divisors (see below), whose sum is σ = 31026240. Its totient is φ = 3440640.

The previous prime is 10988111. The next prime is 10988141. The reversal of 10988120 is 2188901.

10988120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10988120² = 241477562268800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97184 + ... + 97296.

Almost surely, 2^10988120 is an apocalyptic number.

10988120 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 10988120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15513120).

10988120 is an abundant number, since it is smaller than the sum of its proper divisors (20038120).

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

10988120 is a wasteful number, since it uses less digits than its factorization.

10988120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 29.

The square root of 10988120 is about 3314.8333291434. The cubic root of 10988120 is about 222.3179169336.

It can be divided in two parts, 109881 and 20, that added together give a palindrome (109901).

The spelling of 10988120 in words is "ten million, nine hundred eighty-eight thousand, one hundred twenty".