4812228900 has 288 divisors, whose sum is σ = 15987171200. Its totient is φ = 1241049600.

The previous prime is 4812228899. The next prime is 4812228959. The reversal of 4812228900 is 98222184.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21013986 + ... + 21014214.

Almost surely, 2^4812228900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4812228900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7993585600).

4812228900 is an abundant number, since it is smaller than the sum of its proper divisors (11174942300).

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

4812228900 is a wasteful number, since it uses less digits than its factorization.

4812228900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4812228900 is about 69370.2306468704. The cubic root of 4812228900 is about 1688.2966510107.

The spelling of 4812228900 in words is "four billion, eight hundred twelve million, two hundred twenty-eight thousand, nine hundred".