222248949120 has 512 divisors, whose sum is σ = 860834304000. Its totient is φ = 53744025600.

The previous prime is 222248949113. The next prime is 222248949127. The reversal of 222248949120 is 21949842222.

222248949120 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 489 + 49 + 120 = 666.

222248949120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (222248949113) and next prime (222248949127).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222248949127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91047100 + ... + 91049540.

It is an arithmetic number, because the mean of its divisors is an integer number (1681317000).

Almost surely, 2^222248949120 is an apocalyptic number.

222248949120 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 222248949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430417152000).

222248949120 is an abundant number, since it is smaller than the sum of its proper divisors (638585354880).

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

222248949120 is a wasteful number, since it uses less digits than its factorization.

222248949120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 222248949120 in words is "two hundred twenty-two billion, two hundred forty-eight million, nine hundred forty-nine thousand, one hundred twenty".