1218963200 has 486 divisors, whose sum is σ = 3965699304. Its totient is φ = 369008640.

The previous prime is 1218963197. The next prime is 1218963289. The reversal of 1218963200 is 23698121.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 52998389 + ... + 52998411.

Almost surely, 2^1218963200 is an apocalyptic number.

1218963200 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 1218963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982849652).

1218963200 is an abundant number, since it is smaller than the sum of its proper divisors (2746736104).

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

1218963200 is a wasteful number, since it uses less digits than its factorization.

1218963200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 1218963200 is about 34913.6534897166. The cubic root of 1218963200 is about 1068.2269526617.

The spelling of 1218963200 in words is "one billion, two hundred eighteen million, nine hundred sixty-three thousand, two hundred".