3126367221120 has 1024 divisors, whose sum is σ = 13428263116800. Its totient is φ = 677022105600.

The previous prime is 3126367221113. The next prime is 3126367221121. The reversal of 3126367221120 is 211227636213.

3126367221120 is a `hidden beast` number, since 3 + 1 + 2 + 636 + 7 + 2 + 2 + 1 + 12 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3126367221121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76581834 + ... + 76622646.

It is an arithmetic number, because the mean of its divisors is an integer number (13113538200).

Almost surely, 2^{3126367221120} is an apocalyptic number.

3126367221120 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 3126367221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6714131558400).

3126367221120 is an abundant number, since it is smaller than the sum of its proper divisors (10301895895680).

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

3126367221120 is a wasteful number, since it uses less digits than its factorization.

3126367221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40896 (or 40878 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 3126367221120 in words is "three trillion, one hundred twenty-six billion, three hundred sixty-seven million, two hundred twenty-one thousand, one hundred twenty".