3120787119996 has 384 divisors, whose sum is σ = 10507456512000. Its totient is φ = 777865068288.

The previous prime is 3120787119941. The next prime is 3120787120027. The reversal of 3120787119996 is 6999117870213.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78220765 + ... + 78260651.

It is an arithmetic number, because the mean of its divisors is an integer number (27363168000).

Almost surely, 2^{3120787119996} is an apocalyptic number.

3120787119996 is a gapful number since it is divisible by the number (36) 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 3120787119996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5253728256000).

3120787119996 is an abundant number, since it is smaller than the sum of its proper divisors (7386669392004).

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

3120787119996 is a wasteful number, since it uses less digits than its factorization.

3120787119996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40358 (or 40350 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 63.

The spelling of 3120787119996 in words is "three trillion, one hundred twenty billion, seven hundred eighty-seven million, one hundred nineteen thousand, nine hundred ninety-six".