1142269200 has 360 divisors, whose sum is σ = 4168864128. Its totient is φ = 289336320.

The previous prime is 1142269169. The next prime is 1142269223. The reversal of 1142269200 is 29622411.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7275522 + ... + 7275678.

It is a vampire number, since it can be written as 12126 ⋅ 94200 (with its own digits).

Almost surely, 2^1142269200 is an apocalyptic number.

1142269200 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 1142269200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084432064).

1142269200 is an abundant number, since it is smaller than the sum of its proper divisors (3026594928).

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

1142269200 is a wasteful number, since it uses less digits than its factorization.

1142269200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1142269200 is about 33797.4732783384. The cubic root of 1142269200 is about 1045.3365978411.

The spelling of 1142269200 in words is "one billion, one hundred forty-two million, two hundred sixty-nine thousand, two hundred".