120113331210000 has 300 divisors, whose sum is σ = 420077707441392. Its totient is φ = 32028388704000.

The previous prime is 120113331209999. The next prime is 120113331210001. The reversal of 120113331210000 is 12133311021.

120113331210000 is a `hidden beast` number, since 12 + 0 + 113 + 331 + 210 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (120113331209999) and next prime (120113331210001).

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (120113331210001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2436005347 + ... + 2436054653.

Almost surely, 2^{120113331210000} is an apocalyptic number.

120113331210000 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 120113331210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210038853720696).

120113331210000 is an abundant number, since it is smaller than the sum of its proper divisors (299964376231392).

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

120113331210000 is a wasteful number, since it uses less digits than its factorization.

120113331210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76408 (or 76384 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 120113331210000 its reverse (12133311021), we get a palindrome (120125464521021).

The spelling of 120113331210000 in words is "one hundred twenty trillion, one hundred thirteen billion, three hundred thirty-one million, two hundred ten thousand".