3121002756496 has 45 divisors (see below), whose sum is σ = 6178996160769. Its totient is φ = 1527136690752.

The previous prime is 3121002756439. The next prime is 3121002756511. The reversal of 3121002756496 is 6946572001213.

It is a happy number.

The square root of 3121002756496 is 1766636.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16584288400 + 3104418468096 = 128780^2 + 1761936^2 .

It is a super-3 number, since 3×3121002756496³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 332122870 + ... + 332132266.

Almost surely, 2^{3121002756496} is an apocalyptic number.

3121002756496 is the 1766636-th square number.

It is an amenable number.

3121002756496 is a deficient number, since it is larger than the sum of its proper divisors (3057993404273).

3121002756496 is an frugal number, since it uses more digits than its factorization.

3121002756496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18896 (or 9446 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 3121002756496 in words is "three trillion, one hundred twenty-one billion, two million, seven hundred fifty-six thousand, four hundred ninety-six".