120253440053000 has 64 divisors (see below), whose sum is σ = 288256294937520. Its totient is φ = 46928171712000.

The previous prime is 120253440052969. The next prime is 120253440053083. The reversal of 120253440053000 is 350044352021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 109787520964 + 120143652532036 = 331342^2 + 10961006^2 .

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, 1466464367 + ... + 1466546366.

Almost surely, 2^{120253440053000} is an apocalyptic number.

120253440053000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120253440053000 is an abundant number, since it is smaller than the sum of its proper divisors (168002854884520).

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

120253440053000 is a wasteful number, since it uses less digits than its factorization.

120253440053000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933010795 (or 2933010781 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The spelling of 120253440053000 in words is "one hundred twenty trillion, two hundred fifty-three billion, four hundred forty million, fifty-three thousand".