1126416200 has 192 divisors, whose sum is σ = 3281040000. Its totient is φ = 350115840.

The previous prime is 1126416199. The next prime is 1126416211. The reversal of 1126416200 is 26146211.

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, 1073276 + ... + 1074324.

It is an arithmetic number, because the mean of its divisors is an integer number (17088750).

Almost surely, 2^1126416200 is an apocalyptic number.

1126416200 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 1126416200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640520000).

1126416200 is an abundant number, since it is smaller than the sum of its proper divisors (2154623800).

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

1126416200 is a wasteful number, since it uses less digits than its factorization.

1126416200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 1126416200 is about 33562.1244857950. The cubic root of 1126416200 is about 1040.4781455210.

The spelling of 1126416200 in words is "one billion, one hundred twenty-six million, four hundred sixteen thousand, two hundred".