12264511104 has 256 divisors, whose sum is σ = 37944000000. Its totient is φ = 3894718464.

The previous prime is 12264511079. The next prime is 12264511109. The reversal of 12264511104 is 40111546221.

12264511104 is a `hidden beast` number, since 1 + 2 + 2 + 645 + 1 + 1 + 10 + 4 = 666.

It is a super-3 number, since 3×12264511104³ (a number of 31 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12264511109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7916922 + ... + 7918470.

It is an arithmetic number, because the mean of its divisors is an integer number (148218750).

Almost surely, 2^12264511104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12264511104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18972000000).

12264511104 is an abundant number, since it is smaller than the sum of its proper divisors (25679488896).

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

12264511104 is a wasteful number, since it uses less digits than its factorization.

12264511104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 12264511104 in words is "twelve billion, two hundred sixty-four million, five hundred eleven thousand, one hundred four".