120121010112000 has 320 divisors, whose sum is σ = 400814283190464. Its totient is φ = 31916615270400.

The previous prime is 120121010111983. The next prime is 120121010112001. The reversal of 120121010112000 is 211010121021.

It is a tau number, because it is divible by the number of its divisors (320).

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 (120121010112001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52054704 + ... + 54313296.

Almost surely, 2^{120121010112000} is an apocalyptic number.

120121010112000 is a gapful number since it is divisible by the number (10) 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 120121010112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200407141595232).

120121010112000 is an abundant number, since it is smaller than the sum of its proper divisors (280693273078464).

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

120121010112000 is an equidigital number, since it uses as much as digits as its factorization.

120121010112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2258906 (or 2258880 counting only the distinct ones).

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

Adding to 120121010112000 its reverse (211010121021), we get a palindrome (120332020233021).

The spelling of 120121010112000 in words is "one hundred twenty trillion, one hundred twenty-one billion, ten million, one hundred twelve thousand".