1261224000 has 224 divisors, whose sum is σ = 4628083200. Its totient is φ = 336268800.

The previous prime is 1261223981. The next prime is 1261224037. The reversal of 1261224000 is 4221621.

1261224000 is a `hidden beast` number, since 1 + 261 + 2 + 2 + 400 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213081 + ... + 218919.

Almost surely, 2^1261224000 is an apocalyptic number.

1261224000 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 1261224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314041600).

1261224000 is an abundant number, since it is smaller than the sum of its proper divisors (3366859200).

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

1261224000 is an equidigital number, since it uses as much as digits as its factorization.

1261224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5875 (or 5849 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1261224000 is about 35513.7156602910. The cubic root of 1261224000 is about 1080.4319260016.

Adding to 1261224000 its reverse (4221621), we get a palindrome (1265445621).

The spelling of 1261224000 in words is "one billion, two hundred sixty-one million, two hundred twenty-four thousand".