123233113200 has 120 divisors (see below), whose sum is σ = 395136384256. Its totient is φ = 32830560000.

The previous prime is 123233113193. The next prime is 123233113217. The reversal of 123233113200 is 2311332321.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1212345 + ... + 1310055.

Almost surely, 2^123233113200 is an apocalyptic number.

123233113200 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 123233113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197568192128).

123233113200 is an abundant number, since it is smaller than the sum of its proper divisors (271903271056).

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

123233113200 is a wasteful number, since it uses less digits than its factorization.

123233113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98783 (or 98772 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 123233113200 its reverse (2311332321), we get a palindrome (125544445521).

The spelling of 123233113200 in words is "one hundred twenty-three billion, two hundred thirty-three million, one hundred thirteen thousand, two hundred".