1126005200 has 60 divisors (see below), whose sum is σ = 2864375820. Its totient is φ = 423905280.

The previous prime is 1126005187. The next prime is 1126005203. The reversal of 1126005200 is 25006211.

It can be written as a sum of positive squares in 6 ways, for example, as 64 + 1126005136 = 8^2 + 33556^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126005203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75995 + ... + 89594.

It is an arithmetic number, because the mean of its divisors is an integer number (47739597).

Almost surely, 2^1126005200 is an apocalyptic number.

1126005200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1126005200 is an abundant number, since it is smaller than the sum of its proper divisors (1738370620).

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

1126005200 is a wasteful number, since it uses less digits than its factorization.

1126005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165624 (or 165613 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 1126005200 is about 33556.0009536297. Note that the first 3 decimals coincide. The cubic root of 1126005200 is about 1040.3515823142.

The spelling of 1126005200 in words is "one billion, one hundred twenty-six million, five thousand, two hundred".