12618000 has 120 divisors (see below), whose sum is σ = 44133336. Its totient is φ = 3360000.

The previous prime is 12617989. The next prime is 12618017. The reversal of 12618000 is 81621.

It can be written as a sum of positive squares in 4 ways, for example, as 1296 + 12616704 = 36^2 + 3552^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17650 + ... + 18350.

Almost surely, 2^12618000 is an apocalyptic number.

12618000 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 12618000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22066668).

12618000 is an abundant number, since it is smaller than the sum of its proper divisors (31515336).

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

12618000 is a wasteful number, since it uses less digits than its factorization.

12618000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 12618000 is about 3552.1824277478. The cubic root of 12618000 is about 232.8074323627.

Adding to 12618000 its reverse (81621), we get a palindrome (12699621).

It can be divided in two parts, 1261 and 8000, that added together give a cube (9261 = 21³).

The spelling of 12618000 in words is "twelve million, six hundred eighteen thousand".