120379928760 has 1920 divisors, whose sum is σ = 555617905920. Its totient is φ = 23075684352.

The previous prime is 120379928731. The next prime is 120379928771. The reversal of 120379928760 is 67829973021.

120379928760 is a `hidden beast` number, since 120 + 379 + 92 + 8 + 7 + 60 = 666.

It is a super-3 number, since 3×120379928760³ (a number of 34 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 120379928697 and 120379928706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1649040084 + ... + 1649040156.

It is an arithmetic number, because the mean of its divisors is an integer number (289384326).

Almost surely, 2^120379928760 is an apocalyptic number.

120379928760 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 120379928760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277808952960).

120379928760 is an abundant number, since it is smaller than the sum of its proper divisors (435237977160).

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

120379928760 is a wasteful number, since it uses less digits than its factorization.

120379928760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 120379928760 in words is "one hundred twenty billion, three hundred seventy-nine million, nine hundred twenty-eight thousand, seven hundred sixty".