120925411840 has 480 divisors, whose sum is σ = 333387679680. Its totient is φ = 41890480128.

The previous prime is 120925411837. The next prime is 120925411853. The reversal of 120925411840 is 48114529021.

It is a super-2 number, since 2×120925411840² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120925411840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 675560871 + ... + 675561049.

It is an arithmetic number, because the mean of its divisors is an integer number (694557666).

Almost surely, 2^120925411840 is an apocalyptic number.

120925411840 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 120925411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166693839840).

120925411840 is an abundant number, since it is smaller than the sum of its proper divisors (212462267840).

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

120925411840 is a wasteful number, since it uses less digits than its factorization.

120925411840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The spelling of 120925411840 in words is "one hundred twenty billion, nine hundred twenty-five million, four hundred eleven thousand, eight hundred forty".