123331010003200 has 216 divisors, whose sum is σ = 306391583294720. Its totient is φ = 49150441267200.

The previous prime is 123331010003183. The next prime is 123331010003207. The reversal of 123331010003200 is 2300010133321.

It is not an unprimeable number, because it can be changed into a prime (123331010003207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1893900241 + ... + 1893965359.

Almost surely, 2^{123331010003200} is an apocalyptic number.

123331010003200 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 123331010003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153195791647360).

123331010003200 is an abundant number, since it is smaller than the sum of its proper divisors (183060573291520).

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

123331010003200 is an equidigital number, since it uses as much as digits as its factorization.

123331010003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66233 (or 66214 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 123331010003200 its reverse (2300010133321), we get a palindrome (125631020136521).

The spelling of 123331010003200 in words is "one hundred twenty-three trillion, three hundred thirty-one billion, ten million, three thousand, two hundred".