1225224000 has 1344 divisors, whose sum is σ = 6230794752. Its totient is φ = 221184000.

The previous prime is 1225223981. The next prime is 1225224019. The reversal of 1225224000 is 4225221.

1225224000 is a `hidden beast` number, since 12 + 252 + 2 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1225223981) and next prime (1225224019).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72071992 + ... + 72072008.

It is an arithmetic number, because the mean of its divisors is an integer number (4636008).

Almost surely, 2^1225224000 is an apocalyptic number.

1225224000 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 1225224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3115397376).

1225224000 is an abundant number, since it is smaller than the sum of its proper divisors (5005570752).

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

1225224000 is a wasteful number, since it uses less digits than its factorization.

1225224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 1225224000 is about 35003.1998537277. The cubic root of 1225224000 is about 1070.0526948748.

Adding to 1225224000 its reverse (4225221), we get a palindrome (1229449221).

The spelling of 1225224000 in words is "one billion, two hundred twenty-five million, two hundred twenty-four thousand".