12279945600 has 864 divisors, whose sum is σ = 50400066600. Its totient is φ = 2918522880.

The previous prime is 12279945541. The next prime is 12279945637. The reversal of 12279945600 is 654997221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

12279945600 is a `hidden beast` number, since 12 + 2 + 79 + 9 + 4 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 423446386 + ... + 423446414.

Almost surely, 2^12279945600 is an apocalyptic number.

12279945600 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 12279945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25200033300).

12279945600 is an abundant number, since it is smaller than the sum of its proper divisors (38120121000).

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

12279945600 is a wasteful number, since it uses less digits than its factorization.

12279945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 12279945600 in words is "twelve billion, two hundred seventy-nine million, nine hundred forty-five thousand, six hundred".