3123551329920 has 768 divisors, whose sum is σ = 12744366336000. Its totient is φ = 689846353920.

The previous prime is 3123551329841. The next prime is 3123551329973. The reversal of 3123551329920 is 299231553213.

3123551329920 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 551 + 3 + 2 + 9 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 1011183736 + ... + 1011186824.

It is an arithmetic number, because the mean of its divisors is an integer number (16594227000).

Almost surely, 2^{3123551329920} is an apocalyptic number.

3123551329920 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 3123551329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6372183168000).

3123551329920 is an abundant number, since it is smaller than the sum of its proper divisors (9620815006080).

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

3123551329920 is a wasteful number, since it uses less digits than its factorization.

3123551329920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961 (or 3946 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 3123551329920 in words is "three trillion, one hundred twenty-three billion, five hundred fifty-one million, three hundred twenty-nine thousand, nine hundred twenty".