200122113156400 has 480 divisors, whose sum is σ = 522640704782592. Its totient is φ = 73350198067200.

The previous prime is 200122113156379. The next prime is 200122113156403. The reversal of 200122113156400 is 4651311221002.

It is not an unprimeable number, because it can be changed into a prime (200122113156403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90104507290 + ... + 90104509510.

Almost surely, 2^{200122113156400} is an apocalyptic number.

200122113156400 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 200122113156400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261320352391296).

200122113156400 is an abundant number, since it is smaller than the sum of its proper divisors (322518591626192).

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

200122113156400 is a wasteful number, since it uses less digits than its factorization.

200122113156400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3657 (or 3646 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 200122113156400 its reverse (4651311221002), we get a palindrome (204773424377402).

The spelling of 200122113156400 in words is "two hundred trillion, one hundred twenty-two billion, one hundred thirteen million, one hundred fifty-six thousand, four hundred".