1218309120 has 352 divisors, whose sum is σ = 4952102400. Its totient is φ = 278249472.

The previous prime is 1218309061. The next prime is 1218309179. The reversal of 1218309120 is 219038121.

It is an interprime number because it is at equal distance from previous prime (1218309061) and next prime (1218309179).

It is a super-2 number, since 2×1218309120² = 2968554223750348800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 967051 + ... + 968309.

Almost surely, 2^1218309120 is an apocalyptic number.

1218309120 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 1218309120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476051200).

1218309120 is an abundant number, since it is smaller than the sum of its proper divisors (3733793280).

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

1218309120 is a wasteful number, since it uses less digits than its factorization.

1218309120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1218309120 is about 34904.2851237495. The cubic root of 1218309120 is about 1068.0358528552.

The spelling of 1218309120 in words is "one billion, two hundred eighteen million, three hundred nine thousand, one hundred twenty".