2122400430200 has 48 divisors (see below), whose sum is σ = 5194295799000. Its totient is φ = 804278056320.

The previous prime is 2122400430151. The next prime is 2122400430209. The reversal of 2122400430200 is 20340042212.

It is a super-2 number, since 2×2122400430200² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122400430209) 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, 279259415 + ... + 279267014.

Almost surely, 2^{2122400430200} is an apocalyptic number.

2122400430200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122400430200 is an abundant number, since it is smaller than the sum of its proper divisors (3071895368800).

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

2122400430200 is a wasteful number, since it uses less digits than its factorization.

2122400430200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558526464 (or 558526455 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 2122400430200 its reverse (20340042212), we get a palindrome (2142740472412).

The spelling of 2122400430200 in words is "two trillion, one hundred twenty-two billion, four hundred million, four hundred thirty thousand, two hundred".