3153205001120 has 144 divisors (see below), whose sum is σ = 7514071087320. Its totient is φ = 1250408005632.

The previous prime is 3153205001117. The next prime is 3153205001131. The reversal of 3153205001120 is 211005023513.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 601300990096 + 2551904011024 = 775436^2 + 1597468^2 .

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 23 ways as a sum of consecutive naturals, for example, 7282228424 + ... + 7282228856.

Almost surely, 2^{3153205001120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3153205001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3757035543660).

3153205001120 is an abundant number, since it is smaller than the sum of its proper divisors (4360866086200).

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

3153205001120 is an equidigital number, since it uses as much as digits as its factorization.

3153205001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The spelling of 3153205001120 in words is "three trillion, one hundred fifty-three billion, two hundred five million, one thousand, one hundred twenty".