3121985617920 has 1440 divisors, whose sum is σ = 12572582022000. Its totient is φ = 741989154816.

The previous prime is 3121985617913. The next prime is 3121985617979. The reversal of 3121985617920 is 297165891213.

It is a happy number.

3121985617920 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 9 + 8 + 561 + 79 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 107654676466 + ... + 107654676494.

Almost surely, 2^{3121985617920} is an apocalyptic number.

3121985617920 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 3121985617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6286291011000).

3121985617920 is an abundant number, since it is smaller than the sum of its proper divisors (9450596404080).

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

3121985617920 is an frugal number, since it uses more digits than its factorization.

3121985617920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 3121985617920 in words is "three trillion, one hundred twenty-one billion, nine hundred eighty-five million, six hundred seventeen thousand, nine hundred twenty".