120705919740 has 576 divisors, whose sum is σ = 463788509184. Its totient is φ = 25723256832.

The previous prime is 120705919729. The next prime is 120705919753. The reversal of 120705919740 is 47919507021.

120705919740 is a `hidden beast` number, since 12 + 0 + 7 + 0 + 591 + 9 + 7 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65351497 + ... + 65353343.

It is an arithmetic number, because the mean of its divisors is an integer number (805188384).

Almost surely, 2^120705919740 is an apocalyptic number.

120705919740 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 120705919740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231894254592).

120705919740 is an abundant number, since it is smaller than the sum of its proper divisors (343082589444).

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

120705919740 is a wasteful number, since it uses less digits than its factorization.

120705919740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 120705919740 in words is "one hundred twenty billion, seven hundred five million, nine hundred nineteen thousand, seven hundred forty".