123011200 has 96 divisors (see below), whose sum is σ = 327361860. Its totient is φ = 45404160.

The previous prime is 123011177. The next prime is 123011219. The reversal of 123011200 is 2110321.

It can be written as a sum of positive squares in 6 ways, for example, as 9290304 + 113720896 = 3048^2 + 10664^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40122 + ... + 43078.

Almost surely, 2^123011200 is an apocalyptic number.

123011200 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 123011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163680930).

123011200 is an abundant number, since it is smaller than the sum of its proper divisors (204350660).

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

123011200 is a wasteful number, since it uses less digits than its factorization.

123011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2994 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 123011200 is about 11091.0414299109. The cubic root of 123011200 is about 497.3340776455.

Adding to 123011200 its reverse (2110321), we get a palindrome (125121521).

The spelling of 123011200 in words is "one hundred twenty-three million, eleven thousand, two hundred".