12235532400 has 900 divisors, whose sum is σ = 55662611472. Its totient is φ = 2429706240.

The previous prime is 12235532381. The next prime is 12235532437. The reversal of 12235532400 is 423553221.

It is a happy number.

12235532400 is a `hidden beast` number, since 1 + 223 + 5 + 5 + 32 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-2 number, since 2×12235532400² (a number of 21 digits) contains 22 as substring.

It is a zygodrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 719737192 + ... + 719737208.

Almost surely, 2^12235532400 is an apocalyptic number.

12235532400 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 12235532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27831305736).

12235532400 is an abundant number, since it is smaller than the sum of its proper divisors (43427079072).

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

12235532400 is a wasteful number, since it uses less digits than its factorization.

12235532400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 12235532400 in words is "twelve billion, two hundred thirty-five million, five hundred thirty-two thousand, four hundred".