120946284854208 has 1344 divisors, whose sum is σ = 415488565739520. Its totient is φ = 33260803276800.

The previous prime is 120946284854189. The next prime is 120946284854363. The reversal of 120946284854208 is 802458482649021.

120946284854208 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 4 + 6 + 2 + 84 + 8 + 542 + 0 + 8 = 666.

120946284854208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 46896580663 + ... + 46896583241.

It is an arithmetic number, because the mean of its divisors is an integer number (309143278080).

Almost surely, 2^{120946284854208} is an apocalyptic number.

120946284854208 is a gapful number since it is divisible by the number (18) 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 120946284854208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207744282869760).

120946284854208 is an abundant number, since it is smaller than the sum of its proper divisors (294542280885312).

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

120946284854208 is a wasteful number, since it uses less digits than its factorization.

120946284854208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 120946284854208 in words is "one hundred twenty trillion, nine hundred forty-six billion, two hundred eighty-four million, eight hundred fifty-four thousand, two hundred eight".