1142011200 has 336 divisors, whose sum is σ = 4190731776. Its totient is φ = 269875200.

The previous prime is 1142011187. The next prime is 1142011223. The reversal of 1142011200 is 21102411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2270149 + ... + 2270651.

It is an arithmetic number, because the mean of its divisors is an integer number (12472416).

Almost surely, 2^1142011200 is an apocalyptic number.

1142011200 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 1142011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095365888).

1142011200 is an abundant number, since it is smaller than the sum of its proper divisors (3048720576).

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

1142011200 is a wasteful number, since it uses less digits than its factorization.

1142011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1142011200 is about 33793.6562094130. The cubic root of 1142011200 is about 1045.2578898477.

Adding to 1142011200 its reverse (21102411), we get a palindrome (1163113611).

The spelling of 1142011200 in words is "one billion, one hundred forty-two million, eleven thousand, two hundred".