1225773327600 has 180 divisors, whose sum is σ = 4263883187512. Its totient is φ = 326096064000.

The previous prime is 1225773327593. The next prime is 1225773327619. The reversal of 1225773327600 is 67233775221.

It is a happy number.

1225773327600 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 7 + 7 + 3 + 32 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1111215 + ... + 1919985.

Almost surely, 2^{1225773327600} is an apocalyptic number.

1225773327600 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 1225773327600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131941593756).

1225773327600 is an abundant number, since it is smaller than the sum of its proper divisors (3038109859912).

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

1225773327600 is a wasteful number, since it uses less digits than its factorization.

1225773327600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809216 (or 809202 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 1225773327600 in words is "one trillion, two hundred twenty-five billion, seven hundred seventy-three million, three hundred twenty-seven thousand, six hundred".