1214141200 has 120 divisors (see below), whose sum is σ = 3021822216. Its totient is φ = 468480000.

The previous prime is 1214141189. The next prime is 1214141213. The reversal of 1214141200 is 21414121.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 50239744 + 1163901456 = 7088^2 + 34116^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1656034 + ... + 1656766.

Almost surely, 2^1214141200 is an apocalyptic number.

1214141200 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 1214141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510911108).

1214141200 is an abundant number, since it is smaller than the sum of its proper divisors (1807681016).

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

1214141200 is a wasteful number, since it uses less digits than its factorization.

1214141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1214141200 is about 34844.5289823238. The cubic root of 1214141200 is about 1066.8165197452.

Adding to 1214141200 its reverse (21414121), we get a palindrome (1235555321).

The spelling of 1214141200 in words is "one billion, two hundred fourteen million, one hundred forty-one thousand, two hundred".