3121135230000 has 400 divisors, whose sum is σ = 10698457397760. Its totient is φ = 781115904000.

The previous prime is 3121135229929. The next prime is 3121135230067. The reversal of 3121135230000 is 325311213.

It is a tau number, because it is divible by the number of its divisors (400).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 183081477 + ... + 183098523.

Almost surely, 2^{3121135230000} is an apocalyptic number.

3121135230000 is a gapful number since it is divisible by the number (30) 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 3121135230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5349228698880).

3121135230000 is an abundant number, since it is smaller than the sum of its proper divisors (7577322167760).

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

3121135230000 is a wasteful number, since it uses less digits than its factorization.

3121135230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17454 (or 17433 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The spelling of 3121135230000 in words is "three trillion, one hundred twenty-one billion, one hundred thirty-five million, two hundred thirty thousand".