2122266240000 has 495 divisors, whose sum is σ = 7670182120887. Its totient is φ = 565005312000.

The previous prime is 2122266239987. The next prime is 2122266240043. The reversal of 2122266240000 is 426622212.

It is a happy number.

The square root of 2122266240000 is 1456800.

It is a perfect power (a square), and thus also a powerful number.

2122266240000 is a `hidden beast` number, since 2 + 12 + 2 + 26 + 624 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 166385673216 + 1955880566784 = 407904^2 + 1398528^2 .

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 44 ways as a sum of consecutive naturals, for example, 3496319697 + ... + 3496320303.

Almost surely, 2^{2122266240000} is an apocalyptic number.

2122266240000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2122266240000 is the 1456800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122266240000

2122266240000 is an abundant number, since it is smaller than the sum of its proper divisors (5547915880887).

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

2122266240000 is an frugal number, since it uses more digits than its factorization.

2122266240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 2122266240000 in words is "two trillion, one hundred twenty-two billion, two hundred sixty-six million, two hundred forty thousand".