1126186128 has 60 divisors (see below), whose sum is σ = 3181256208. Its totient is φ = 371881920.

The previous prime is 1126186121. The next prime is 1126186133. The reversal of 1126186128 is 8216816211.

1126186128 is a `hidden beast` number, since 1 + 1 + 26 + 18 + 612 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1126186092 and 1126186101.

It is not an unprimeable number, because it can be changed into a prime (1126186121) 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, 21138 + ... + 51953.

Almost surely, 2^1126186128 is an apocalyptic number.

1126186128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1126186128 is an abundant number, since it is smaller than the sum of its proper divisors (2055070080).

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

1126186128 is a wasteful number, since it uses less digits than its factorization.

1126186128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73212 (or 73203 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 1126186128 is about 33558.6967565786. The cubic root of 1126186128 is about 1040.4073010179.

The spelling of 1126186128 in words is "one billion, one hundred twenty-six million, one hundred eighty-six thousand, one hundred twenty-eight".