2242120212400 has 30 divisors (see below), whose sum is σ = 5386693811252. Its totient is φ = 896848084800.

The previous prime is 2242120212341. The next prime is 2242120212401. The reversal of 2242120212400 is 42120212422.

It is a super-2 number, since 2×2242120212400² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2242120212401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2802649866 + ... + 2802650665.

Almost surely, 2^{2242120212400} is an apocalyptic number.

2242120212400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242120212400 is an abundant number, since it is smaller than the sum of its proper divisors (3144573598852).

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

2242120212400 is a wasteful number, since it uses less digits than its factorization.

2242120212400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5605300549 (or 5605300538 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 2242120212400 its sum of digits (22), we get a palindrome (2242120212422).

Adding to 2242120212400 its reverse (42120212422), we get a palindrome (2284240424822).

The spelling of 2242120212400 in words is "two trillion, two hundred forty-two billion, one hundred twenty million, two hundred twelve thousand, four hundred".