12235421952 has 180 divisors, whose sum is σ = 39291127260. Its totient is φ = 3764662272.

The previous prime is 12235421927. The next prime is 12235421953. The reversal of 12235421952 is 25912453221.

12235421952 is a `hidden beast` number, since 1 + 2 + 23 + 542 + 1 + 95 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5163284736 + 7072137216 = 71856^2 + 84096^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12235421953) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 246874 + ... + 292262.

Almost surely, 2^12235421952 is an apocalyptic number.

12235421952 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 12235421952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19645563630).

12235421952 is an abundant number, since it is smaller than the sum of its proper divisors (27055705308).

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

12235421952 is an equidigital number, since it uses as much as digits as its factorization.

12235421952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45430 (or 45407 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The spelling of 12235421952 in words is "twelve billion, two hundred thirty-five million, four hundred twenty-one thousand, nine hundred fifty-two".