3123162688800 has 576 divisors, whose sum is σ = 13016940862464. Its totient is φ = 631427788800.

The previous prime is 3123162688781. The next prime is 3123162688823. The reversal of 3123162688800 is 88862613213.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3123162688800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6609219 + ... + 7065981.

It is an arithmetic number, because the mean of its divisors is an integer number (22598855664).

Almost surely, 2^{3123162688800} is an apocalyptic number.

3123162688800 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 3123162688800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6508470431232).

3123162688800 is an abundant number, since it is smaller than the sum of its proper divisors (9893778173664).

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

3123162688800 is a wasteful number, since it uses less digits than its factorization.

3123162688800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456841 (or 456828 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 3123162688800 in words is "three trillion, one hundred twenty-three billion, one hundred sixty-two million, six hundred eighty-eight thousand, eight hundred".