1225173600 has 720 divisors, whose sum is σ = 5316097248. Its totient is φ = 268738560.

The previous prime is 1225173569. The next prime is 1225173611. The reversal of 1225173600 is 63715221.

It is a happy number.

1225173600 is a `hidden beast` number, since 1 + 2 + 2 + 51 + 7 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 119 ways as a sum of consecutive naturals, for example, 16783164 + ... + 16783236.

Almost surely, 2^1225173600 is an apocalyptic number.

1225173600 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 1225173600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658048624).

1225173600 is an abundant number, since it is smaller than the sum of its proper divisors (4090923648).

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

1225173600 is a wasteful number, since it uses less digits than its factorization.

1225173600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1225173600 is about 35002.4799121434. The cubic root of 1225173600 is about 1070.0380223482.

Adding to 1225173600 its reverse (63715221), we get a palindrome (1288888821).

The spelling of 1225173600 in words is "one billion, two hundred twenty-five million, one hundred seventy-three thousand, six hundred".