2121233121300 has 288 divisors, whose sum is σ = 6904253099520. Its totient is φ = 500135731200.

The previous prime is 2121233121251. The next prime is 2121233121313. The reversal of 2121233121300 is 31213321212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5278485 + ... + 5666115.

It is an arithmetic number, because the mean of its divisors is an integer number (23973101040).

Almost surely, 2^{2121233121300} is an apocalyptic number.

2121233121300 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 2121233121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3452126549760).

2121233121300 is an abundant number, since it is smaller than the sum of its proper divisors (4783019978220).

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

2121233121300 is a wasteful number, since it uses less digits than its factorization.

2121233121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387731 (or 387724 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2121233121300 its reverse (31213321212), we get a palindrome (2152446442512).

The spelling of 2121233121300 in words is "two trillion, one hundred twenty-one billion, two hundred thirty-three million, one hundred twenty-one thousand, three hundred".