21120120211104 has 72 divisors (see below), whose sum is σ = 60063488476992. Its totient is φ = 7039671235200.

The previous prime is 21120120211087. The next prime is 21120120211181. The reversal of 21120120211104 is 40111202102112.

21120120211104 is a `hidden beast` number, since 211 + 20 + 120 + 211 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3613279 + ... + 7436129.

It is an arithmetic number, because the mean of its divisors is an integer number (834215117736).

Almost surely, 2^{21120120211104} is an apocalyptic number.

21120120211104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21120120211104 is an abundant number, since it is smaller than the sum of its proper divisors (38943368265888).

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

21120120211104 is a wasteful number, since it uses less digits than its factorization.

21120120211104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3842050 (or 3842039 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21120120211104 its reverse (40111202102112), we get a palindrome (61231322313216).

The spelling of 21120120211104 in words is "twenty-one trillion, one hundred twenty billion, one hundred twenty million, two hundred eleven thousand, one hundred four".