2121120400 has 60 divisors (see below), whose sum is σ = 5823998272. Its totient is φ = 727240320.

The previous prime is 2121120319. The next prime is 2121120403. The reversal of 2121120400 is 40211212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2121120403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 375972 + ... + 381571.

Almost surely, 2^2121120400 is an apocalyptic number.

2121120400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121120400 is an abundant number, since it is smaller than the sum of its proper divisors (3702877872).

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

2121120400 is a wasteful number, since it uses less digits than its factorization.

2121120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757568 (or 757557 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2121120400 is about 46055.6228923245. The cubic root of 2121120400 is about 1284.8579230948.

Adding to 2121120400 its reverse (40211212), we get a palindrome (2161331612).

The spelling of 2121120400 in words is "two billion, one hundred twenty-one million, one hundred twenty thousand, four hundred".