120902025006 has 128 divisors (see below), whose sum is σ = 323371008000. Its totient is φ = 32709409632.

The previous prime is 120902024993. The next prime is 120902025007. The reversal of 120902025006 is 600520209021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120902025007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29293315 + ... + 29297441.

It is an arithmetic number, because the mean of its divisors is an integer number (2526336000).

Almost surely, 2^120902025006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120902025006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161685504000).

120902025006 is an abundant number, since it is smaller than the sum of its proper divisors (202468982994).

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

120902025006 is a wasteful number, since it uses less digits than its factorization.

120902025006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8243 (or 8237 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 120902025006 in words is "one hundred twenty billion, nine hundred two million, twenty-five thousand, six".