120485253319200 has 6480 divisors, whose sum is σ = 587794658624712. Its totient is φ = 23911759872000.

The previous prime is 120485253319183. The next prime is 120485253319231. The reversal of 120485253319200 is 2913352584021.

120485253319200 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 8 + 525 + 3 + 31 + 92 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 170592128784 + 120314661190416 = 413028^2 + 10968804^2 .

It is a tau number, because it is divible by the number of its divisors (6480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 1079 ways as a sum of consecutive naturals, for example, 1242116013552 + ... + 1242116013648.

Almost surely, 2^{120485253319200} is an apocalyptic number.

120485253319200 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 120485253319200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293897329312356).

120485253319200 is an abundant number, since it is smaller than the sum of its proper divisors (467309405305512).

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

120485253319200 is a wasteful number, since it uses less digits than its factorization.

120485253319200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 120485253319200 in words is "one hundred twenty trillion, four hundred eighty-five billion, two hundred fifty-three million, three hundred nineteen thousand, two hundred".