21132111120 has 240 divisors, whose sum is σ = 72517358592. Its totient is φ = 5072629760.

The previous prime is 21132111047. The next prime is 21132111157. The reversal of 21132111120 is 2111123112.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×21132111120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21132111120.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2153425 + ... + 2163215.

Almost surely, 2^21132111120 is an apocalyptic number.

21132111120 is a gapful number since it is divisible by the number (20) 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 21132111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36258679296).

21132111120 is an abundant number, since it is smaller than the sum of its proper divisors (51385247472).

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

21132111120 is a wasteful number, since it uses less digits than its factorization.

21132111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9870 (or 9841 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 21132111120 its reverse (2111123112), we get a palindrome (23243234232).

The spelling of 21132111120 in words is "twenty-one billion, one hundred thirty-two million, one hundred eleven thousand, one hundred twenty".