132303211123200 has 480 divisors, whose sum is σ = 471244270728000. Its totient is φ = 32527557918720.

The previous prime is 132303211123183. The next prime is 132303211123217. The reversal of 132303211123200 is 2321112303231.

It is an interprime number because it is at equal distance from previous prime (132303211123183) and next prime (132303211123217).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 413676951 + ... + 413996649.

It is an arithmetic number, because the mean of its divisors is an integer number (981758897350).

Almost surely, 2^{132303211123200} is an apocalyptic number.

132303211123200 is a gapful number since it is divisible by the number (10) 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 132303211123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235622135364000).

132303211123200 is an abundant number, since it is smaller than the sum of its proper divisors (338941059604800).

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

132303211123200 is a wasteful number, since it uses less digits than its factorization.

132303211123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320572 (or 320551 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 132303211123200 its reverse (2321112303231), we get a palindrome (134624323426431).

The spelling of 132303211123200 in words is "one hundred thirty-two trillion, three hundred three billion, two hundred eleven million, one hundred twenty-three thousand, two hundred".