1142341200 has 720 divisors, whose sum is σ = 5339408256. Its totient is φ = 218419200.

The previous prime is 1142341183. The next prime is 1142341229. The reversal of 1142341200 is 21432411.

1142341200 is a `hidden beast` number, since 1 + 1 + 423 + 41 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 143 ways as a sum of consecutive naturals, for example, 3603442 + ... + 3603758.

Almost surely, 2^1142341200 is an apocalyptic number.

1142341200 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 1142341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669704128).

1142341200 is an abundant number, since it is smaller than the sum of its proper divisors (4197067056).

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

1142341200 is a wasteful number, since it uses less digits than its factorization.

1142341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1142341200 is about 33798.5384299381. The cubic root of 1142341200 is about 1045.3585607473.

Adding to 1142341200 its reverse (21432411), we get a palindrome (1163773611).

The spelling of 1142341200 in words is "one billion, one hundred forty-two million, three hundred forty-one thousand, two hundred".