120219965312640 has 256 divisors, whose sum is σ = 384083385984000. Its totient is φ = 31984891527168.

The previous prime is 120219965312621. The next prime is 120219965312653. The reversal of 120219965312640 is 46213569912021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3143890641 + ... + 3143928879.

It is an arithmetic number, because the mean of its divisors is an integer number (1500325726500).

Almost surely, 2^{120219965312640} is an apocalyptic number.

120219965312640 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 120219965312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192041692992000).

120219965312640 is an abundant number, since it is smaller than the sum of its proper divisors (263863420671360).

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

120219965312640 is a wasteful number, since it uses less digits than its factorization.

120219965312640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41987 (or 41975 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 120219965312640 in words is "one hundred twenty trillion, two hundred nineteen billion, nine hundred sixty-five million, three hundred twelve thousand, six hundred forty".