3122288640000 has 1200 divisors, whose sum is σ = 12087153872640. Its totient is φ = 794787840000.

The previous prime is 3122288639989. The next prime is 3122288640017. The reversal of 3122288640000 is 468822213.

3122288640000 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 2 + 8 + 8 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6359039755 + ... + 6359040245.

Almost surely, 2^{3122288640000} is an apocalyptic number.

3122288640000 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 3122288640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6043576936320).

3122288640000 is an abundant number, since it is smaller than the sum of its proper divisors (8964865232640).

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

3122288640000 is an frugal number, since it uses more digits than its factorization.

3122288640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 3122288640000 in words is "three trillion, one hundred twenty-two billion, two hundred eighty-eight million, six hundred forty thousand".