12229507440 has 160 divisors (see below), whose sum is σ = 43482931200. Its totient is φ = 3155984640.

The previous prime is 12229507421. The next prime is 12229507463. The reversal of 12229507440 is 4470592221.

12229507440 is a `hidden beast` number, since 122 + 2 + 95 + 0 + 7 + 440 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12229507395 and 12229507404.

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, 24360 + ... + 158279.

It is an arithmetic number, because the mean of its divisors is an integer number (271768320).

Almost surely, 2^12229507440 is an apocalyptic number.

12229507440 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 12229507440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21741465600).

12229507440 is an abundant number, since it is smaller than the sum of its proper divisors (31253423760).

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

12229507440 is a wasteful number, since it uses less digits than its factorization.

12229507440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182692 (or 182680 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 12229507440 in words is "twelve billion, two hundred twenty-nine million, five hundred seven thousand, four hundred forty".