120149925952 has 224 divisors, whose sum is σ = 295378997760. Its totient is φ = 47370977280.

The previous prime is 120149925923. The next prime is 120149925967. The reversal of 120149925952 is 259529941021.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 120149925896 and 120149925905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33929302 + ... + 33932842.

It is an arithmetic number, because the mean of its divisors is an integer number (1318656240).

Almost surely, 2^120149925952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120149925952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147689498880).

120149925952 is an abundant number, since it is smaller than the sum of its proper divisors (175229071808).

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

120149925952 is a wasteful number, since it uses less digits than its factorization.

120149925952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3709 (or 3699 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 49.

The spelling of 120149925952 in words is "one hundred twenty billion, one hundred forty-nine million, nine hundred twenty-five thousand, nine hundred fifty-two".