120121210100000 has 288 divisors, whose sum is σ = 298899489208320. Its totient is φ = 47513329920000.

The previous prime is 120121210099993. The next prime is 120121210100051. The reversal of 120121210100000 is 1012121021.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3898884596 + ... + 3898915404.

It is an arithmetic number, because the mean of its divisors is an integer number (1037845448640).

Almost surely, 2^{120121210100000} is an apocalyptic number.

120121210100000 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 120121210100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149449744604160).

120121210100000 is an abundant number, since it is smaller than the sum of its proper divisors (178778279108320).

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

120121210100000 is an equidigital number, since it uses as much as digits as its factorization.

120121210100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31278 (or 31250 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 120121210100000 its reverse (1012121021), we get a palindrome (120122222221021).

The spelling of 120121210100000 in words is "one hundred twenty trillion, one hundred twenty-one billion, two hundred ten million, one hundred thousand".