222006127200 has 576 divisors, whose sum is σ = 871958691072. Its totient is φ = 48334233600.

The previous prime is 222006127111. The next prime is 222006127207. The reversal of 222006127200 is 2721600222.

It is a super-3 number, since 3×222006127200³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222006127207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12689659 + ... + 12707141.

It is an arithmetic number, because the mean of its divisors is an integer number (1513817172).

Almost surely, 2^222006127200 is an apocalyptic number.

222006127200 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 222006127200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435979345536).

222006127200 is an abundant number, since it is smaller than the sum of its proper divisors (649952563872).

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

222006127200 is a wasteful number, since it uses less digits than its factorization.

222006127200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17567 (or 17554 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

Adding to 222006127200 its reverse (2721600222), we get a palindrome (224727727422).

The spelling of 222006127200 in words is "two hundred twenty-two billion, six million, one hundred twenty-seven thousand, two hundred".