120013213320000 has 3360 divisors, whose sum is σ = 592816087928064. Its totient is φ = 22394880000000.

The previous prime is 120013213319941. The next prime is 120013213320067. The reversal of 120013213320000 is 23312310021.

120013213320000 is a `hidden beast` number, since 1 + 20 + 0 + 1 + 321 + 3 + 320 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 13333315500 + ... + 13333324500.

Almost surely, 2^{120013213320000} is an apocalyptic number.

120013213320000 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 120013213320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296408043964032).

120013213320000 is an abundant number, since it is smaller than the sum of its proper divisors (472802874608064).

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

120013213320000 is a wasteful number, since it uses less digits than its factorization.

120013213320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9107 (or 9079 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 120013213320000 its reverse (23312310021), we get a palindrome (120036525630021).

The spelling of 120013213320000 in words is "one hundred twenty trillion, thirteen billion, two hundred thirteen million, three hundred twenty thousand".