12189277632 has 504 divisors, whose sum is σ = 41084046864. Its totient is φ = 3177086976.

The previous prime is 12189277631. The next prime is 12189277637. The reversal of 12189277632 is 23677298121.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12189277631) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 125662608 + ... + 125662704.

It is an arithmetic number, because the mean of its divisors is an integer number (81515966).

Almost surely, 2^12189277632 is an apocalyptic number.

12189277632 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 12189277632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20542023432).

12189277632 is an abundant number, since it is smaller than the sum of its proper divisors (28894769232).

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

12189277632 is a wasteful number, since it uses less digits than its factorization.

12189277632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 165 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The spelling of 12189277632 in words is "twelve billion, one hundred eighty-nine million, two hundred seventy-seven thousand, six hundred thirty-two".