12227604480 has 936 divisors, whose sum is σ = 54168328032. Its totient is φ = 2579890176.

The previous prime is 12227604479. The next prime is 12227604481. The reversal of 12227604480 is 8440672221.

12227604480 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 7 + 604 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12227604479) and next prime (12227604481).

It is a tau number, because it is divible by the number of its divisors (936).

It is a super-2 number, since 2×12227604480² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12227604481) 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, 940584954 + ... + 940584966.

Almost surely, 2^12227604480 is an apocalyptic number.

12227604480 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 12227604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27084164016).

12227604480 is an abundant number, since it is smaller than the sum of its proper divisors (41940723552).

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

12227604480 is an frugal number, since it uses more digits than its factorization.

12227604480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 12227604480 in words is "twelve billion, two hundred twenty-seven million, six hundred four thousand, four hundred eighty".