2221121002400 has 144 divisors (see below), whose sum is σ = 5626564751808. Its totient is φ = 855563520000.

The previous prime is 2221121002361. The next prime is 2221121002411. The reversal of 2221121002400 is 42001211222.

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, 1987700 + ... + 2897100.

It is an arithmetic number, because the mean of its divisors is an integer number (39073366332).

Almost surely, 2^{2221121002400} is an apocalyptic number.

2221121002400 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 2221121002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813282375904).

2221121002400 is an abundant number, since it is smaller than the sum of its proper divisors (3405443749408).

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

2221121002400 is a wasteful number, since it uses less digits than its factorization.

2221121002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909535 (or 909522 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2221121002400 its reverse (42001211222), we get a palindrome (2263122213622).

The spelling of 2221121002400 in words is "two trillion, two hundred twenty-one billion, one hundred twenty-one million, two thousand, four hundred".