222000400400 has 120 divisors (see below), whose sum is σ = 572021334720. Its totient is φ = 82539025920.

The previous prime is 222000400393. The next prime is 222000400417. The reversal of 222000400400 is 4004000222.

It is a happy number.

222000400400 is a modest number, since divided by 400400 gives 222000 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127229 + ... + 678371.

It is an arithmetic number, because the mean of its divisors is an integer number (4766844456).

Almost surely, 2^222000400400 is an apocalyptic number.

222000400400 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 222000400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286010667360).

222000400400 is an abundant number, since it is smaller than the sum of its proper divisors (350020934320).

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

222000400400 is a wasteful number, since it uses less digits than its factorization.

222000400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551233 (or 551222 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 222000400400 its reverse (4004000222), we get a palindrome (226004400622).

The spelling of 222000400400 in words is "two hundred twenty-two billion, four hundred thousand, four hundred".