12461221332 has 96 divisors (see below), whose sum is σ = 37017926400. Its totient is φ = 3551112576.

The previous prime is 12461221327. The next prime is 12461221349. The reversal of 12461221332 is 23312216421.

12461221332 is a `hidden beast` number, since 1 + 2 + 4 + 612 + 2 + 13 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 = 12461221296 and 12461221305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272898 + ... + 315270.

It is an arithmetic number, because the mean of its divisors is an integer number (385603400).

Almost surely, 2^12461221332 is an apocalyptic number.

12461221332 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 12461221332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18508963200).

12461221332 is an abundant number, since it is smaller than the sum of its proper divisors (24556705068).

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

12461221332 is a wasteful number, since it uses less digits than its factorization.

12461221332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42782 (or 42774 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 12461221332 its reverse (23312216421), we get a palindrome (35773437753).

The spelling of 12461221332 in words is "twelve billion, four hundred sixty-one million, two hundred twenty-one thousand, three hundred thirty-two".