21120120212112 has 120 divisors (see below), whose sum is σ = 59881937248224. Its totient is φ = 6947918326272.

The previous prime is 21120120212089. The next prime is 21120120212161. The reversal of 21120120212112 is 21121202102112.

21120120212112 is a `hidden beast` number, since 211 + 201 + 20 + 21 + 211 + 2 = 666.

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 23 ways as a sum of consecutive naturals, for example, 10463143 + ... + 12317369.

Almost surely, 2^{21120120212112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21120120212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29940968624112).

21120120212112 is an abundant number, since it is smaller than the sum of its proper divisors (38761817036112).

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

21120120212112 is a wasteful number, since it uses less digits than its factorization.

21120120212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855277 (or 1855268 counting only the distinct ones).

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

Adding to 21120120212112 its reverse (21121202102112), we get a palindrome (42241322314224).

The spelling of 21120120212112 in words is "twenty-one trillion, one hundred twenty billion, one hundred twenty million, two hundred twelve thousand, one hundred twelve".