1011225600 has 1056 divisors, whose sum is σ = 4873497600. Its totient is φ = 199065600.

The previous prime is 1011225571. The next prime is 1011225661. The reversal of 1011225600 is 65221101.

1011225600 is a `hidden beast` number, since 101 + 1 + 2 + 2 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53222391 + ... + 53222409.

Almost surely, 2^1011225600 is an apocalyptic number.

1011225600 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 1011225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436748800).

1011225600 is an abundant number, since it is smaller than the sum of its proper divisors (3862272000).

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

1011225600 is a wasteful number, since it uses less digits than its factorization.

1011225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1011225600 is about 31799.7735840996. The cubic root of 1011225600 is about 1003.7279517724.

Adding to 1011225600 its reverse (65221101), we get a palindrome (1076446701).

The spelling of 1011225600 in words is "one billion, eleven million, two hundred twenty-five thousand, six hundred".