120777408000 has 480 divisors, whose sum is σ = 436920026400. Its totient is φ = 32066764800.

The previous prime is 120777407983. The next prime is 120777408013. The reversal of 120777408000 is 804777021.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258623767 + ... + 258624233.

It is an arithmetic number, because the mean of its divisors is an integer number (910250055).

Almost surely, 2^120777408000 is an apocalyptic number.

120777408000 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 120777408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218460013200).

120777408000 is an abundant number, since it is smaller than the sum of its proper divisors (316142618400).

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

120777408000 is an equidigital number, since it uses as much as digits as its factorization.

120777408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The spelling of 120777408000 in words is "one hundred twenty billion, seven hundred seventy-seven million, four hundred eight thousand".