120836355763200 has 2112 divisors, whose sum is σ = 530197550899200. Its totient is φ = 24015839232000.

The previous prime is 120836355763187. The next prime is 120836355763213. The reversal of 120836355763200 is 2367553638021.

120836355763200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (120836355763187) and next prime (120836355763213).

It is a tau number, because it is divible by the number of its divisors (2112).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6664618135 + ... + 6664636265.

Almost surely, 2^{120836355763200} is an apocalyptic number.

120836355763200 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 120836355763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265098775449600).

120836355763200 is an abundant number, since it is smaller than the sum of its proper divisors (409361195136000).

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

120836355763200 is a wasteful number, since it uses less digits than its factorization.

120836355763200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18219 (or 18182 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 51.

The spelling of 120836355763200 in words is "one hundred twenty trillion, eight hundred thirty-six billion, three hundred fifty-five million, seven hundred sixty-three thousand, two hundred".