918120000 has 280 divisors, whose sum is σ = 3472338496. Its totient is φ = 209664000.

The previous prime is 918119999. The next prime is 918120023. The reversal of 918120000 is 21819.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 839454 + ... + 840546.

Almost surely, 2^918120000 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 918120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736169248).

918120000 is an abundant number, since it is smaller than the sum of its proper divisors (2554218496).

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

918120000 is a wasteful number, since it uses less digits than its factorization.

918120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 918120000 is about 30300.4950454609. The cubic root of 918120000 is about 971.9258864048.

Adding to 918120000 its reverse (21819), we get a palindrome (918141819).

The spelling of 918120000 in words is "nine hundred eighteen million, one hundred twenty thousand".