120260316052800 has 4032 divisors, whose sum is σ = 591740905586688. Its totient is φ = 22383820800000.

The previous prime is 120260316052781. The next prime is 120260316052819. The reversal of 120260316052800 is 8250613062021.

120260316052800 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 60 + 316 + 0 + 5 + 280 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (120260316052781) and next prime (120260316052819).

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-3 number, since 3×120260316052800³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 104483332225 + ... + 104483333375.

Almost surely, 2^{120260316052800} is an apocalyptic number.

120260316052800 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 120260316052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295870452793344).

120260316052800 is an abundant number, since it is smaller than the sum of its proper divisors (471480589533888).

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

120260316052800 is a wasteful number, since it uses less digits than its factorization.

120260316052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 120260316052800 in words is "one hundred twenty trillion, two hundred sixty billion, three hundred sixteen million, fifty-two thousand, eight hundred".