3121821648000 has 1280 divisors, whose sum is σ = 13199905255680. Its totient is φ = 723824640000.

The previous prime is 3121821647981. The next prime is 3121821648037. The reversal of 3121821648000 is 8461281213.

3121821648000 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 8 + 2 + 1 + 648 + 0 + 0 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 327883240 + ... + 327892760.

It is an arithmetic number, because the mean of its divisors is an integer number (10312425981).

Almost surely, 2^{3121821648000} is an apocalyptic number.

3121821648000 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 3121821648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6599952627840).

3121821648000 is an abundant number, since it is smaller than the sum of its proper divisors (10078083607680).

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

3121821648000 is a wasteful number, since it uses less digits than its factorization.

3121821648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9596 (or 9565 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 3121821648000 in words is "three trillion, one hundred twenty-one billion, eight hundred twenty-one million, six hundred forty-eight thousand".