120065002680 has 256 divisors, whose sum is σ = 415866516480. Its totient is φ = 27163828224.

The previous prime is 120065002679. The next prime is 120065002699. The reversal of 120065002680 is 86200560021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37320432 + ... + 37323648.

It is an arithmetic number, because the mean of its divisors is an integer number (1624478580).

Almost surely, 2^120065002680 is an apocalyptic number.

120065002680 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 120065002680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207933258240).

120065002680 is an abundant number, since it is smaller than the sum of its proper divisors (295801513800).

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

120065002680 is a wasteful number, since it uses less digits than its factorization.

120065002680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3678 (or 3674 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 120065002680 in words is "one hundred twenty billion, sixty-five million, two thousand, six hundred eighty".