22111907428900 has 243 divisors, whose sum is σ = 50300075730387. Its totient is φ = 8437108579200.

The previous prime is 22111907428873. The next prime is 22111907428901. The reversal of 22111907428900 is 982470911122.

The square root of 22111907428900 is 4702330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2099096778276 + 20012810650624 = 1448826^2 + 4473568^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22111907428901) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 123530209011 + ... + 123530209189.

Almost surely, 2^{22111907428900} is an apocalyptic number.

22111907428900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22111907428900 is the 4702330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22111907428900

22111907428900 is an abundant number, since it is smaller than the sum of its proper divisors (28188168301487).

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

22111907428900 is an equidigital number, since it uses as much as digits as its factorization.

22111907428900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 46.

The spelling of 22111907428900 in words is "twenty-two trillion, one hundred eleven billion, nine hundred seven million, four hundred twenty-eight thousand, nine hundred".