120034712272640 has 144 divisors (see below), whose sum is σ = 313767638876160. Its totient is φ = 43633852354560.

The previous prime is 120034712272621. The next prime is 120034712272703. The reversal of 120034712272640 is 46272217430021.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39172481 + ... + 42125439.

It is an arithmetic number, because the mean of its divisors is an integer number (2178941936640).

Almost surely, 2^{120034712272640} is an apocalyptic number.

120034712272640 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 120034712272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156883819438080).

120034712272640 is an abundant number, since it is smaller than the sum of its proper divisors (193732926603520).

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

120034712272640 is a wasteful number, since it uses less digits than its factorization.

120034712272640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2955878 (or 2955864 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 41.

The spelling of 120034712272640 in words is "one hundred twenty trillion, thirty-four billion, seven hundred twelve million, two hundred seventy-two thousand, six hundred forty".