1225252600 has 96 divisors (see below), whose sum is σ = 3346817040. Its totient is φ = 411264000.

The previous prime is 1225252591. The next prime is 1225252603. The reversal of 1225252600 is 62525221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225252603) 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 23 ways as a sum of consecutive naturals, for example, 7180 + ... + 50020.

Almost surely, 2^1225252600 is an apocalyptic number.

1225252600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1225252600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673408520).

1225252600 is an abundant number, since it is smaller than the sum of its proper divisors (2121564440).

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

1225252600 is a wasteful number, since it uses less digits than its factorization.

1225252600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42881 (or 42872 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 1225252600 is about 35003.6083854222. The cubic root of 1225252600 is about 1070.0610207725.

Adding to 1225252600 its reverse (62525221), we get a palindrome (1287777821).

The spelling of 1225252600 in words is "one billion, two hundred twenty-five million, two hundred fifty-two thousand, six hundred".