21121020012000 has 96 divisors (see below), whose sum is σ = 69192461598624. Its totient is φ = 5632272000000.

The previous prime is 21121020011963. The next prime is 21121020012061. The reversal of 21121020012000 is 21002012112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 880030501 + ... + 880054500.

It is an arithmetic number, because the mean of its divisors is an integer number (720754808319).

Almost surely, 2^{21121020012000} is an apocalyptic number.

21121020012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121020012000 is an abundant number, since it is smaller than the sum of its proper divisors (48071441586624).

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

21121020012000 is a wasteful number, since it uses less digits than its factorization.

21121020012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760085029 (or 1760085011 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21121020012000 its reverse (21002012112), we get a palindrome (21142022024112).

The spelling of 21121020012000 in words is "twenty-one trillion, one hundred twenty-one billion, twenty million, twelve thousand".