222221442112000 has 320 divisors, whose sum is σ = 594755981243424. Its totient is φ = 82513782374400.

The previous prime is 222221442111971. The next prime is 222221442112049. The reversal of 222221442112000 is 211244122222.

It can be written as a sum of positive squares in 16 ways, for example, as 34072156682496 + 188149285429504 = 5837136^2 + 13716752^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78025044 + ... + 80822956.

Almost surely, 2^{222221442112000} is an apocalyptic number.

222221442112000 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 222221442112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297377990621712).

222221442112000 is an abundant number, since it is smaller than the sum of its proper divisors (372534539131424).

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

222221442112000 is an equidigital number, since it uses as much as digits as its factorization.

222221442112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798036 (or 2798010 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 222221442112000 its reverse (211244122222), we get a palindrome (222432686234222).

The spelling of 222221442112000 in words is "two hundred twenty-two trillion, two hundred twenty-one billion, four hundred forty-two million, one hundred twelve thousand".