120427166990592 has 1008 divisors, whose sum is σ = 458906660739072. Its totient is φ = 30614084628480.

The previous prime is 120427166990519. The next prime is 120427166990609. The reversal of 120427166990592 is 295099661724021.

120427166990592 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 27 + 16 + 6 + 9 + 9 + 0 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 675303103 + ... + 675481409.

It is an arithmetic number, because the mean of its divisors is an integer number (455264544384).

Almost surely, 2^{120427166990592} is an apocalyptic number.

120427166990592 is a gapful number since it is divisible by the number (12) 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 120427166990592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229453330369536).

120427166990592 is an abundant number, since it is smaller than the sum of its proper divisors (338479493748480).

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

120427166990592 is an equidigital number, since it uses as much as digits as its factorization.

120427166990592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178406 (or 178377 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 120427166990592 in words is "one hundred twenty trillion, four hundred twenty-seven billion, one hundred sixty-six million, nine hundred ninety thousand, five hundred ninety-two".