120648905055 has 320 divisors, whose sum is σ = 269284435200. Its totient is φ = 50428624896.

The previous prime is 120648905033. The next prime is 120648905077. The reversal of 120648905055 is 550509846021.

120648905055 is a `hidden beast` number, since 1 + 2 + 0 + 64 + 89 + 0 + 505 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (120648905033) and next prime (120648905077).

It is not a de Polignac number, because 120648905055 - 2¹⁷ = 120648773983 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 120648905055.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 380595757 + ... + 380596073.

It is an arithmetic number, because the mean of its divisors is an integer number (841513860).

Almost surely, 2^120648905055 is an apocalyptic number.

120648905055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

120648905055 is an abundant number, since it is smaller than the sum of its proper divisors (148635530145).

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

120648905055 is a wasteful number, since it uses less digits than its factorization.

120648905055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 120648905055 in words is "one hundred twenty billion, six hundred forty-eight million, nine hundred five thousand, fifty-five".