2122230510400 has 672 divisors, whose sum is σ = 7032809871360. Its totient is φ = 608726016000.

The previous prime is 2122230510391. The next prime is 2122230510427. The reversal of 2122230510400 is 40150322212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 574972555 + ... + 574976245.

It is an arithmetic number, because the mean of its divisors is an integer number (10465490880).

Almost surely, 2^{2122230510400} is an apocalyptic number.

2122230510400 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 2122230510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3516404935680).

2122230510400 is an abundant number, since it is smaller than the sum of its proper divisors (4910579360960).

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

2122230510400 is a wasteful number, since it uses less digits than its factorization.

2122230510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4103 (or 4088 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 2122230510400 its reverse (40150322212), we get a palindrome (2162380832612).

The spelling of 2122230510400 in words is "two trillion, one hundred twenty-two billion, two hundred thirty million, five hundred ten thousand, four hundred".