21121011120000 has 640 divisors, whose sum is σ = 76579985560320. Its totient is φ = 5113497600000.

The previous prime is 21121011119959. The next prime is 21121011120007. The reversal of 21121011120000 is 2111012112.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×21121011120000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21121011120007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2172715140 + ... + 2172724860.

It is an arithmetic number, because the mean of its divisors is an integer number (119656227438).

Almost surely, 2^{21121011120000} is an apocalyptic number.

21121011120000 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 21121011120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38289992780160).

21121011120000 is an abundant number, since it is smaller than the sum of its proper divisors (55458974440320).

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

21121011120000 is an equidigital number, since it uses as much as digits as its factorization.

21121011120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10592 (or 10565 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21121011120000 its reverse (2111012112), we get a palindrome (21123122132112).

The spelling of 21121011120000 in words is "twenty-one trillion, one hundred twenty-one billion, eleven million, one hundred twenty thousand".