1232112000 has 512 divisors, whose sum is σ = 4939084800. Its totient is φ = 265420800.

The previous prime is 1232111999. The next prime is 1232112017. The reversal of 1232112000 is 2112321.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6383904 + ... + 6384096.

It is an arithmetic number, because the mean of its divisors is an integer number (9646650).

Almost surely, 2^1232112000 is an apocalyptic number.

1232112000 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 1232112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469542400).

1232112000 is an abundant number, since it is smaller than the sum of its proper divisors (3706972800).

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

1232112000 is a wasteful number, since it uses less digits than its factorization.

1232112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1232112000 is about 35101.4529613804. The cubic root of 1232112000 is about 1072.0541667142.

Adding to 1232112000 its reverse (2112321), we get a palindrome (1234224321).

The spelling of 1232112000 in words is "one billion, two hundred thirty-two million, one hundred twelve thousand".