1232123200 has 336 divisors, whose sum is σ = 3859645824. Its totient is φ = 376012800.

The previous prime is 1232123173. The next prime is 1232123219. The reversal of 1232123200 is 23212321.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 8993532 + ... + 8993668.

Almost surely, 2^1232123200 is an apocalyptic number.

1232123200 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 1232123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929822912).

1232123200 is an abundant number, since it is smaller than the sum of its proper divisors (2627522624).

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

1232123200 is a wasteful number, since it uses less digits than its factorization.

1232123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1232123200 is about 35101.6124985733. The cubic root of 1232123200 is about 1072.0574150581.

Adding to 1232123200 its reverse (23212321), we get a palindrome (1255335521).

It can be divided in two parts, 1232 and 123200, that multiplied together give a square (151782400 = 12320²).

The spelling of 1232123200 in words is "one billion, two hundred thirty-two million, one hundred twenty-three thousand, two hundred".