21120120000 has 1260 divisors, whose sum is σ = 95005276080. Its totient is φ = 4386816000.

The previous prime is 21120119981. The next prime is 21120120011. The reversal of 21120120000 is 2102112.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 728279986 + ... + 728280014.

Almost surely, 2^21120120000 is an apocalyptic number.

21120120000 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 21120120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47502638040).

21120120000 is an abundant number, since it is smaller than the sum of its proper divisors (73885156080).

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

21120120000 is a wasteful number, since it uses less digits than its factorization.

21120120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21120120000 its reverse (2102112), we get a palindrome (21122222112).

The spelling of 21120120000 in words is "twenty-one billion, one hundred twenty million, one hundred twenty thousand".