1214145600 has 168 divisors, whose sum is σ = 4193377440. Its totient is φ = 306708480.

The previous prime is 1214145599. The next prime is 1214145617. The reversal of 1214145600 is 65414121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 84544 + ... + 97856.

It is an arithmetic number, because the mean of its divisors is an integer number (24960580).

Almost surely, 2^1214145600 is an apocalyptic number.

1214145600 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 1214145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096688720).

1214145600 is an abundant number, since it is smaller than the sum of its proper divisors (2979231840).

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

1214145600 is a wasteful number, since it uses less digits than its factorization.

1214145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13357 (or 13342 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1214145600 is about 34844.5921198685. The cubic root of 1214145600 is about 1066.8178084440.

Adding to 1214145600 its reverse (65414121), we get a palindrome (1279559721).

The spelling of 1214145600 in words is "one billion, two hundred fourteen million, one hundred forty-five thousand, six hundred".