1214132304 has 160 divisors (see below), whose sum is σ = 3955461120. Its totient is φ = 311731200.

The previous prime is 1214132291. The next prime is 1214132323. The reversal of 1214132304 is 4032314121.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327099 + ... + 330789.

It is an arithmetic number, because the mean of its divisors is an integer number (24721632).

Almost surely, 2^1214132304 is an apocalyptic number.

1214132304 is a gapful number since it is divisible by the number (14) 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 1214132304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1977730560).

1214132304 is an abundant number, since it is smaller than the sum of its proper divisors (2741328816).

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

1214132304 is a wasteful number, since it uses less digits than its factorization.

1214132304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3809 (or 3803 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1214132304 is about 34844.4013293384. The cubic root of 1214132304 is about 1066.8139142209.

Adding to 1214132304 its reverse (4032314121), we get a palindrome (5246446425).

The spelling of 1214132304 in words is "one billion, two hundred fourteen million, one hundred thirty-two thousand, three hundred four".