2120121134400 has 336 divisors, whose sum is σ = 7200084371456. Its totient is φ = 545748295680.

The previous prime is 2120121134399. The next prime is 2120121134401. The reversal of 2120121134400 is 44311210212.

It is an interprime number because it is at equal distance from previous prime (2120121134399) and next prime (2120121134401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120121134401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 22508202 + ... + 22602198.

Almost surely, 2^{2120121134400} is an apocalyptic number.

2120121134400 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 2120121134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3600042185728).

2120121134400 is an abundant number, since it is smaller than the sum of its proper divisors (5079963237056).

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

2120121134400 is a wasteful number, since it uses less digits than its factorization.

2120121134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94186 (or 94171 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 2120121134400 its reverse (44311210212), we get a palindrome (2164432344612).

The spelling of 2120121134400 in words is "two trillion, one hundred twenty billion, one hundred twenty-one million, one hundred thirty-four thousand, four hundred".