120121101210000 has 800 divisors, whose sum is σ = 448122367440000. Its totient is φ = 27393822720000.

The previous prime is 120121101209971. The next prime is 120121101210067. The reversal of 120121101210000 is 12101121021.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15421886106 + ... + 15421893894.

It is an arithmetic number, because the mean of its divisors is an integer number (560152959300).

Almost surely, 2^{120121101210000} is an apocalyptic number.

120121101210000 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 120121101210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224061183720000).

120121101210000 is an abundant number, since it is smaller than the sum of its proper divisors (328001266230000).

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

120121101210000 is a wasteful number, since it uses less digits than its factorization.

120121101210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10597 (or 10576 counting only the distinct ones).

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

Adding to 120121101210000 its reverse (12101121021), we get a palindrome (120133202331021).

The spelling of 120121101210000 in words is "one hundred twenty trillion, one hundred twenty-one billion, one hundred one million, two hundred ten thousand".