1233120400 has 30 divisors (see below), whose sum is σ = 2962572722. Its totient is φ = 493248000.

The previous prime is 1233120359. The next prime is 1233120409. The reversal of 1233120400 is 40213321.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 42042256 + 1191078144 = 6484^2 + 34512^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1233120409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1541001 + ... + 1541800.

Almost surely, 2^1233120400 is an apocalyptic number.

1233120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1233120400 is an abundant number, since it is smaller than the sum of its proper divisors (1729452322).

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

1233120400 is a wasteful number, since it uses less digits than its factorization.

1233120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3082819 (or 3082808 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1233120400 is about 35115.8141013419. The cubic root of 1233120400 is about 1072.3465548064.

Adding to 1233120400 its reverse (40213321), we get a palindrome (1273333721).

The spelling of 1233120400 in words is "one billion, two hundred thirty-three million, one hundred twenty thousand, four hundred".