1142141200 has 30 divisors (see below), whose sum is σ = 2743995194. Its totient is φ = 456856320.

The previous prime is 1142141179. The next prime is 1142141201. The reversal of 1142141200 is 21412411.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 43086096 + 1099055104 = 6564^2 + 33152^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1142141201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1427277 + ... + 1428076.

Almost surely, 2^1142141200 is an apocalyptic number.

1142141200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1142141200 is an abundant number, since it is smaller than the sum of its proper divisors (1601853994).

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

1142141200 is a wasteful number, since it uses less digits than its factorization.

1142141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855371 (or 2855360 counting only the distinct ones).

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

The square root of 1142141200 is about 33795.5795926035. The cubic root of 1142141200 is about 1045.2975503957.

Adding to 1142141200 its reverse (21412411), we get a palindrome (1163553611).

The spelling of 1142141200 in words is "one billion, one hundred forty-two million, one hundred forty-one thousand, two hundred".