232211232000 has 1152 divisors, whose sum is σ = 954602288640. Its totient is φ = 55111680000.

The previous prime is 232211231977. The next prime is 232211232023. The reversal of 232211232000 is 232112232.

232211232000 is a `hidden beast` number, since 232 + 2 + 112 + 320 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (232211231977) and next prime (232211232023).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 503711770 + ... + 503712230.

It is an arithmetic number, because the mean of its divisors is an integer number (828647820).

Almost surely, 2^232211232000 is an apocalyptic number.

232211232000 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 232211232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477301144320).

232211232000 is an abundant number, since it is smaller than the sum of its proper divisors (722391056640).

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

232211232000 is a wasteful number, since it uses less digits than its factorization.

232211232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 232211232000 its reverse (232112232), we get a palindrome (232443344232).

The spelling of 232211232000 in words is "two hundred thirty-two billion, two hundred eleven million, two hundred thirty-two thousand".