22122210104400 has 540 divisors, whose sum is σ = 87001674563232. Its totient is φ = 4790368719360.

The previous prime is 22122210104377. The next prime is 22122210104411. The reversal of 22122210104400 is 440101222122.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 20705709 + ... + 21747891.

Almost surely, 2^{22122210104400} is an apocalyptic number.

22122210104400 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 22122210104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43500837281616).

22122210104400 is an abundant number, since it is smaller than the sum of its proper divisors (64879464458832).

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

22122210104400 is a wasteful number, since it uses less digits than its factorization.

22122210104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042256 (or 1042219 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 22122210104400 its reverse (440101222122), we get a palindrome (22562311326522).

The spelling of 22122210104400 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred ten million, one hundred four thousand, four hundred".