12133632 has 144 divisors (see below), whose sum is σ = 38525312. Its totient is φ = 3317760.

The previous prime is 12133621. The next prime is 12133643. The reversal of 12133632 is 23633121.

It is an interprime number because it is at equal distance from previous prime (12133621) and next prime (12133643).

It is a super-2 number, since 2×12133632² = 294450051022848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12133599 and 12133608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198882 + ... + 198942.

Almost surely, 2^12133632 is an apocalyptic number.

12133632 is a gapful number since it is divisible by the number (12) 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 12133632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19262656).

12133632 is an abundant number, since it is smaller than the sum of its proper divisors (26391680).

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

12133632 is an equidigital number, since it uses as much as digits as its factorization.

12133632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 110 counting only the distinct ones).

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

The square root of 12133632 is about 3483.3363317371. The cubic root of 12133632 is about 229.7895491463.

Adding to 12133632 its reverse (23633121), we get a palindrome (35766753).

The spelling of 12133632 in words is "twelve million, one hundred thirty-three thousand, six hundred thirty-two".