123323220221200 has 30 divisors (see below), whose sum is σ = 296284036582394. Its totient is φ = 49329288088320.

The previous prime is 123323220221191. The next prime is 123323220221203. The reversal of 123323220221200 is 2122022323321.

It can be written as a sum of positive squares in 3 ways, for example, as 17641612836864 + 105681607384336 = 4200192^2 + 10280156^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (123323220221203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 154154024877 + ... + 154154025676.

Almost surely, 2^{123323220221200} is an apocalyptic number.

123323220221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123323220221200 is an abundant number, since it is smaller than the sum of its proper divisors (172960816361194).

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

123323220221200 is a wasteful number, since it uses less digits than its factorization.

123323220221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308308050571 (or 308308050560 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 123323220221200 its reverse (2122022323321), we get a palindrome (125445242544521).

The spelling of 123323220221200 in words is "one hundred twenty-three trillion, three hundred twenty-three billion, two hundred twenty million, two hundred twenty-one thousand, two hundred".