2120121034400 has 144 divisors (see below), whose sum is σ = 5449101235200. Its totient is φ = 803274485760.

The previous prime is 2120121034387. The next prime is 2120121034429. The reversal of 2120121034400 is 44301210212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142006136 + ... + 142021064.

It is an arithmetic number, because the mean of its divisors is an integer number (37840980800).

Almost surely, 2^{2120121034400} is an apocalyptic number.

2120121034400 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 2120121034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724550617600).

2120121034400 is an abundant number, since it is smaller than the sum of its proper divisors (3328980200800).

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

2120121034400 is a wasteful number, since it uses less digits than its factorization.

2120121034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24311 (or 24298 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2120121034400 its reverse (44301210212), we get a palindrome (2164422244612).

The spelling of 2120121034400 in words is "two trillion, one hundred twenty billion, one hundred twenty-one million, thirty-four thousand, four hundred".