222131332000 has 288 divisors, whose sum is σ = 576206401680. Its totient is φ = 84146585600.

The previous prime is 222131331979. The next prime is 222131332021. The reversal of 222131332000 is 233131222.

It is an interprime number because it is at equal distance from previous prime (222131331979) and next prime (222131332021).

It can be written as a sum of positive squares in 8 ways, for example, as 45438890896 + 176692441104 = 213164^2 + 420348^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239107536 + ... + 239108464.

Almost surely, 2^222131332000 is an apocalyptic number.

222131332000 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 222131332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288103200840).

222131332000 is an abundant number, since it is smaller than the sum of its proper divisors (354075069680).

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

222131332000 is a wasteful number, since it uses less digits than its factorization.

222131332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 222131332000 its reverse (233131222), we get a palindrome (222364463222).

The spelling of 222131332000 in words is "two hundred twenty-two billion, one hundred thirty-one million, three hundred thirty-two thousand".