1218672000 has 1024 divisors, whose sum is σ = 5702860800. Its totient is φ = 248832000.

The previous prime is 1218671957. The next prime is 1218672041. The reversal of 1218672000 is 2768121.

It is a super-2 number, since 2×1218672000² = 2970322887168000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39311985 + ... + 39312015.

It is an arithmetic number, because the mean of its divisors is an integer number (5569200).

Almost surely, 2^1218672000 is an apocalyptic number.

1218672000 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 1218672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851430400).

1218672000 is an abundant number, since it is smaller than the sum of its proper divisors (4484188800).

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

1218672000 is a wasteful number, since it uses less digits than its factorization.

1218672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1218672000 is about 34909.4829523441. The cubic root of 1218672000 is about 1068.1418824254.

The spelling of 1218672000 in words is "one billion, two hundred eighteen million, six hundred seventy-two thousand".