1214161200 has 270 divisors, whose sum is σ = 4902103284. Its totient is φ = 277482240.

The previous prime is 1214161189. The next prime is 1214161231. The reversal of 1214161200 is 21614121.

1214161200 is a `hidden beast` number, since 12 + 1 + 41 + 612 + 0 + 0 = 666.

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 53 ways as a sum of consecutive naturals, for example, 172959 + ... + 179841.

Almost surely, 2^1214161200 is an apocalyptic number.

1214161200 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 1214161200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451051642).

1214161200 is an abundant number, since it is smaller than the sum of its proper divisors (3687942084).

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

1214161200 is a wasteful number, since it uses less digits than its factorization.

1214161200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6921 (or 6900 counting only the distinct ones).

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

The square root of 1214161200 is about 34844.8159702415. The cubic root of 1214161200 is about 1066.8223774420.

Adding to 1214161200 its reverse (21614121), we get a palindrome (1235775321).

The spelling of 1214161200 in words is "one billion, two hundred fourteen million, one hundred sixty-one thousand, two hundred".