3126900309120 has 2560 divisors, whose sum is σ = 14075804160000. Its totient is φ = 645617516544.

The previous prime is 3126900309097. The next prime is 3126900309131. The reversal of 3126900309120 is 219030096213.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 15713066781 + ... + 15713066979.

It is an arithmetic number, because the mean of its divisors is an integer number (5498361000).

Almost surely, 2^{3126900309120} is an apocalyptic number.

3126900309120 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 3126900309120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7037902080000).

3126900309120 is an abundant number, since it is smaller than the sum of its proper divisors (10948903850880).

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

3126900309120 is a wasteful number, since it uses less digits than its factorization.

3126900309120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 3126900309120 in words is "three trillion, one hundred twenty-six billion, nine hundred million, three hundred nine thousand, one hundred twenty".