229050979875120 has 1280 divisors, whose sum is σ = 826914754068480. Its totient is φ = 52007464599552.

The previous prime is 229050979875089. The next prime is 229050979875181. The reversal of 229050979875120 is 21578979050922.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 82779535977 + ... + 82779538743.

It is an arithmetic number, because the mean of its divisors is an integer number (646027151616).

Almost surely, 2^{229050979875120} is an apocalyptic number.

229050979875120 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 229050979875120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413457377034240).

229050979875120 is an abundant number, since it is smaller than the sum of its proper divisors (597863774193360).

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

229050979875120 is a wasteful number, since it uses less digits than its factorization.

229050979875120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3194 (or 3188 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 66.

The spelling of 229050979875120 in words is "two hundred twenty-nine trillion, fifty billion, nine hundred seventy-nine million, eight hundred seventy-five thousand, one hundred twenty".