12264618240 has 864 divisors, whose sum is σ = 51854939136. Its totient is φ = 2717245440.

The previous prime is 12264618229. The next prime is 12264618241. The reversal of 12264618240 is 4281646221.

12264618240 is a `hidden beast` number, since 1 + 2 + 2 + 646 + 1 + 8 + 2 + 4 + 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 12264618195 and 12264618204.

It is not an unprimeable number, because it can be changed into a prime (12264618241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93622975 + ... + 93623105.

Almost surely, 2^12264618240 is an apocalyptic number.

12264618240 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 12264618240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25927469568).

12264618240 is an abundant number, since it is smaller than the sum of its proper divisors (39590320896).

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

12264618240 is an equidigital number, since it uses as much as digits as its factorization.

12264618240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 12264618240 in words is "twelve billion, two hundred sixty-four million, six hundred eighteen thousand, two hundred forty".