2122133013240 has 256 divisors, whose sum is σ = 6820885584000. Its totient is φ = 526300938240.

The previous prime is 2122133013193. The next prime is 2122133013289. The reversal of 2122133013240 is 423103312212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2122133013240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 432291906 + ... + 432296814.

Almost surely, 2^{2122133013240} is an apocalyptic number.

2122133013240 is a gapful number since it is divisible by the number (20) 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 2122133013240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3410442792000).

2122133013240 is an abundant number, since it is smaller than the sum of its proper divisors (4698752570760).

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

2122133013240 is a wasteful number, since it uses less digits than its factorization.

2122133013240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7410 (or 7406 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2122133013240 its reverse (423103312212), we get a palindrome (2545236325452).

The spelling of 2122133013240 in words is "two trillion, one hundred twenty-two billion, one hundred thirty-three million, thirteen thousand, two hundred forty".