1225042400 has 36 divisors (see below), whose sum is σ = 2990636712. Its totient is φ = 490016640.

The previous prime is 1225042393. The next prime is 1225042417. The reversal of 1225042400 is 42405221.

It is a happy number.

It is a super-3 number, since 3×1225042400³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 764852 + ... + 766451.

It is an arithmetic number, because the mean of its divisors is an integer number (83073242).

Almost surely, 2^1225042400 is an apocalyptic number.

1225042400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1225042400 is an abundant number, since it is smaller than the sum of its proper divisors (1765594312).

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

1225042400 is a wasteful number, since it uses less digits than its factorization.

1225042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531323 (or 1531310 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 1225042400 is about 35000.6057090445. The cubic root of 1225042400 is about 1069.9998253122. Note that the first 3 decimals are identical.

Adding to 1225042400 its reverse (42405221), we get a palindrome (1267447621).

The spelling of 1225042400 in words is "one billion, two hundred twenty-five million, forty-two thousand, four hundred".