1123150400 has 42 divisors (see below), whose sum is σ = 2763655890. Its totient is φ = 449259520.

The previous prime is 1123150321. The next prime is 1123150409. The reversal of 1123150400 is 40513211.

It can be written as a sum of positive squares in 3 ways, for example, as 9193024 + 1113957376 = 3032^2 + 33376^2 .

It is a super-3 number, since 3×1123150400³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1123150409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 349385 + ... + 352584.

Almost surely, 2^1123150400 is an apocalyptic number.

1123150400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1123150400 is an abundant number, since it is smaller than the sum of its proper divisors (1640505490).

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

1123150400 is an equidigital number, since it uses as much as digits as its factorization.

1123150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701991 (or 701976 counting only the distinct ones).

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

The square root of 1123150400 is about 33513.4361115061. The cubic root of 1123150400 is about 1039.4716250942.

Adding to 1123150400 its reverse (40513211), we get a palindrome (1163663611).

The spelling of 1123150400 in words is "one billion, one hundred twenty-three million, one hundred fifty thousand, four hundred".