1142200400 has 120 divisors (see below), whose sum is σ = 3063729504. Its totient is φ = 405619200.

The previous prime is 1142200393. The next prime is 1142200453. The reversal of 1142200400 is 40022411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186182 + ... + 192218.

Almost surely, 2^1142200400 is an apocalyptic number.

1142200400 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 1142200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531864752).

1142200400 is an abundant number, since it is smaller than the sum of its proper divisors (1921529104).

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

1142200400 is a wasteful number, since it uses less digits than its factorization.

1142200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6109 (or 6098 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1142200400 is about 33796.4554354447. The cubic root of 1142200400 is about 1045.3156102018.

Adding to 1142200400 its reverse (40022411), we get a palindrome (1182222811).

The spelling of 1142200400 in words is "one billion, one hundred forty-two million, two hundred thousand, four hundred".