3123201521408 has 72 divisors (see below), whose sum is σ = 6507004716576. Its totient is φ = 1493303398400.

The previous prime is 3123201521399. The next prime is 3123201521411. The reversal of 3123201521408 is 8041251023213.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 22428638 + ... + 22567458.

It is an arithmetic number, because the mean of its divisors is an integer number (90375065508).

Almost surely, 2^{3123201521408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3123201521408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3253502358288).

3123201521408 is an abundant number, since it is smaller than the sum of its proper divisors (3383803195168).

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

3123201521408 is a wasteful number, since it uses less digits than its factorization.

3123201521408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142681 (or 142667 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 3123201521408 in words is "three trillion, one hundred twenty-three billion, two hundred one million, five hundred twenty-one thousand, four hundred eight".