2122121440 has 96 divisors (see below), whose sum is σ = 5208053760. Its totient is φ = 816536064.

The previous prime is 2122121437. The next prime is 2122121459. The reversal of 2122121440 is 441212212.

It is a super-2 number, since 2×2122121440² = 9006798812215347200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441289 + ... + 446071.

It is an arithmetic number, because the mean of its divisors is an integer number (54250560).

Almost surely, 2^2122121440 is an apocalyptic number.

2122121440 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 2122121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604026880).

2122121440 is an abundant number, since it is smaller than the sum of its proper divisors (3085932320).

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

2122121440 is a wasteful number, since it uses less digits than its factorization.

2122121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4904 (or 4896 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2122121440 is about 46066.4893387807. The cubic root of 2122121440 is about 1285.0600162736.

Adding to 2122121440 its reverse (441212212), we get a palindrome (2563333652).

The spelling of 2122121440 in words is "two billion, one hundred twenty-two million, one hundred twenty-one thousand, four hundred forty".