21120300112000 has 128 divisors (see below), whose sum is σ = 52534731253680. Its totient is φ = 8444196864000.

The previous prime is 21120300111973. The next prime is 21120300112031. The reversal of 21120300112000 is 21100302112.

It can be written as a sum of positive squares in 8 ways, for example, as 155696533056 + 20964603578944 = 394584^2 + 4578712^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34270582 + ... + 34881418.

Almost surely, 2^{21120300112000} is an apocalyptic number.

21120300112000 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 21120300112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26267365626840).

21120300112000 is an abundant number, since it is smaller than the sum of its proper divisors (31414431141680).

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

21120300112000 is an equidigital number, since it uses as much as digits as its factorization.

21120300112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613027 (or 613005 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 21120300112000 its reverse (21100302112), we get a palindrome (21141400414112).

The spelling of 21120300112000 in words is "twenty-one trillion, one hundred twenty billion, three hundred million, one hundred twelve thousand".