22142212256250 has 288 divisors, whose sum is σ = 61458360163200. Its totient is φ = 5757953040000.

The previous prime is 22142212256201. The next prime is 22142212256251. The reversal of 22142212256250 is 5265221224122.

22142212256250 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 2 + 2 + 1 + 2 + 25 + 625 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (22142212256251) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1564924176 + ... + 1564938324.

It is an arithmetic number, because the mean of its divisors is an integer number (213397083900).

Almost surely, 2^{22142212256250} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22142212256250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30729180081600).

22142212256250 is an abundant number, since it is smaller than the sum of its proper divisors (39316147906950).

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

22142212256250 is a wasteful number, since it uses less digits than its factorization.

22142212256250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14872 (or 14849 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 22142212256250 in words is "twenty-two trillion, one hundred forty-two billion, two hundred twelve million, two hundred fifty-six thousand, two hundred fifty".