120145620240 has 60 divisors (see below), whose sum is σ = 403489043724. Its totient is φ = 32038831872.

The previous prime is 120145620233. The next prime is 120145620247. The reversal of 120145620240 is 42026541021.

120145620240 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 456 + 202 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (120145620233) and next prime (120145620247).

It can be written as a sum of positive squares in 2 ways, for example, as 18073038096 + 102072582144 = 134436^2 + 319488^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (120145620247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83433739 + ... + 83435178.

Almost surely, 2^120145620240 is an apocalyptic number.

120145620240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120145620240 is an abundant number, since it is smaller than the sum of its proper divisors (283343423484).

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

120145620240 is a wasteful number, since it uses less digits than its factorization.

120145620240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166868936 (or 166868927 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 120145620240 in words is "one hundred twenty billion, one hundred forty-five million, six hundred twenty thousand, two hundred forty".