222400012123100 has 288 divisors, whose sum is σ = 594122848704000. Its totient is φ = 70522556129280.

The previous prime is 222400012123097. The next prime is 222400012123111. The reversal of 222400012123100 is 1321210004222.

It is a super-2 number, since 2×222400012123100² (a number of 29 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1866824336 + ... + 1866943464.

It is an arithmetic number, because the mean of its divisors is an integer number (2062926558000).

Almost surely, 2^{222400012123100} is an apocalyptic number.

222400012123100 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 222400012123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297061424352000).

222400012123100 is an abundant number, since it is smaller than the sum of its proper divisors (371722836580900).

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

222400012123100 is a wasteful number, since it uses less digits than its factorization.

222400012123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121885 (or 121878 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 222400012123100 its reverse (1321210004222), we get a palindrome (223721222127322).

The spelling of 222400012123100 in words is "two hundred twenty-two trillion, four hundred billion, twelve million, one hundred twenty-three thousand, one hundred".