120213441001296 has 60 divisors (see below), whose sum is σ = 336433518850260. Its totient is φ = 40070807884800.

The previous prime is 120213441001273. The next prime is 120213441001301. The reversal of 120213441001296 is 692100144312021.

120213441001296 is a `hidden beast` number, since 1 + 2 + 0 + 21 + 344 + 1 + 0 + 0 + 1 + 296 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48216858394896 + 71996582606400 = 6943836^2 + 8485080^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 120213441001296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13837746 + ... + 20782446.

It is an arithmetic number, because the mean of its divisors is an integer number (5607225314171).

Almost surely, 2^{120213441001296} is an apocalyptic number.

120213441001296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

120213441001296 is an abundant number, since it is smaller than the sum of its proper divisors (216220077848964).

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

120213441001296 is a wasteful number, since it uses less digits than its factorization.

120213441001296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7064924 (or 7064915 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 120213441001296 in words is "one hundred twenty trillion, two hundred thirteen billion, four hundred forty-one million, one thousand, two hundred ninety-six".