120638778624 has 1152 divisors, whose sum is σ = 474705100800. Its totient is φ = 29342269440.

The previous prime is 120638778569. The next prime is 120638778641. The reversal of 120638778624 is 426877836021.

120638778624 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 3 + 8 + 7 + 7 + 8 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 448471162 + ... + 448471430.

It is an arithmetic number, because the mean of its divisors is an integer number (412070400).

Almost surely, 2^120638778624 is an apocalyptic number.

120638778624 is a gapful number since it is divisible by the number (14) 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 120638778624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237352550400).

120638778624 is an abundant number, since it is smaller than the sum of its proper divisors (354066322176).

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

120638778624 is a wasteful number, since it uses less digits than its factorization.

120638778624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 120638778624 in words is "one hundred twenty billion, six hundred thirty-eight million, seven hundred seventy-eight thousand, six hundred twenty-four".