120857659891200 has 600 divisors, whose sum is σ = 448030417646592. Its totient is φ = 32176304455680.

The previous prime is 120857659891103. The next prime is 120857659891201. The reversal of 120857659891200 is 2198956758021.

120857659891200 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 576 + 59 + 8 + 9 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120857659891201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 639611137 + ... + 639800063.

Almost surely, 2^{120857659891200} is an apocalyptic number.

120857659891200 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 120857659891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224015208823296).

120857659891200 is an abundant number, since it is smaller than the sum of its proper divisors (327172757755392).

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

120857659891200 is an equidigital number, since it uses as much as digits as its factorization.

120857659891200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189584 (or 189554 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 63.

The spelling of 120857659891200 in words is "one hundred twenty trillion, eight hundred fifty-seven billion, six hundred fifty-nine million, eight hundred ninety-one thousand, two hundred".