21121246080000 has 1320 divisors, whose sum is σ = 88032609110160. Its totient is φ = 4818862080000.

The previous prime is 21121246079981. The next prime is 21121246080001. The reversal of 21121246080000 is 8064212112.

21121246080000 is a `hidden beast` number, since 2 + 1 + 121 + 2 + 460 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a super-2 number, since 2×21121246080000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21121246080001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1077110196 + ... + 1077129804.

It is an arithmetic number, because the mean of its divisors is an integer number (66691370538).

Almost surely, 2^{21121246080000} is an apocalyptic number.

21121246080000 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 21121246080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44016304555080).

21121246080000 is an abundant number, since it is smaller than the sum of its proper divisors (66911363030160).

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

21121246080000 is a wasteful number, since it uses less digits than its factorization.

21121246080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19683 (or 19647 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 21121246080000 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred forty-six million, eighty thousand".