3121004746080 has 144 divisors (see below), whose sum is σ = 11469692510640. Its totient is φ = 768247317504.

The previous prime is 3121004746061. The next prime is 3121004746081. The reversal of 3121004746080 is 806474001213.

3121004746080 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 0 + 0 + 47 + 4 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121004746081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83341450 + ... + 83378889.

It is an arithmetic number, because the mean of its divisors is an integer number (79650642435).

Almost surely, 2^{3121004746080} is an apocalyptic number.

3121004746080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3121004746080 is an abundant number, since it is smaller than the sum of its proper divisors (8348687764560).

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

3121004746080 is a wasteful number, since it uses less digits than its factorization.

3121004746080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166720373 (or 166720362 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 3121004746080 its reverse (806474001213), we get a palindrome (3927478747293).

The spelling of 3121004746080 in words is "three trillion, one hundred twenty-one billion, four million, seven hundred forty-six thousand, eighty".