4123120400 has 60 divisors (see below), whose sum is σ = 11320918272. Its totient is φ = 1413640320.

The previous prime is 4123120399. The next prime is 4123120409. The reversal of 4123120400 is 40213214.

It is not an unprimeable number, because it can be changed into a prime (4123120409) 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, 733472 + ... + 739071.

Almost surely, 2^4123120400 is an apocalyptic number.

4123120400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4123120400 is an abundant number, since it is smaller than the sum of its proper divisors (7197797872).

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

4123120400 is a wasteful number, since it uses less digits than its factorization.

4123120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472568 (or 1472557 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4123120400 is about 64211.5285599089. The cubic root of 4123120400 is about 1603.5235368174.

Adding to 4123120400 its reverse (40213214), we get a palindrome (4163333614).

The spelling of 4123120400 in words is "four billion, one hundred twenty-three million, one hundred twenty thousand, four hundred".