230211000112032 has 72 divisors (see below), whose sum is σ = 655323140384640. Its totient is φ = 76659566037120.

The previous prime is 230211000112019. The next prime is 230211000112081.

230211000112032 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230211000111996 and 230211000112014.

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 11 ways as a sum of consecutive naturals, for example, 403016182 + ... + 403586997.

It is an arithmetic number, because the mean of its divisors is an integer number (9101710283120).

Almost surely, 2^{230211000112032} is an apocalyptic number.

It is an amenable number.

230211000112032 is an abundant number, since it is smaller than the sum of its proper divisors (425112140272608).

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

230211000112032 is a wasteful number, since it uses less digits than its factorization.

230211000112032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806604186 (or 806604175 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 230211000 and 112032, that added together give a palindrome (230323032).

The spelling of 230211000112032 in words is "two hundred thirty trillion, two hundred eleven billion, one hundred twelve thousand, thirty-two".