1225305540000 has 180 divisors, whose sum is σ = 4354185141306. Its totient is φ = 326748096000.

The previous prime is 1225305539963. The next prime is 1225305540001. The reversal of 1225305540000 is 455035221.

It is a happy number.

1225305540000 is a `hidden beast` number, since 1 + 2 + 253 + 0 + 5 + 5 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 102833096976 + 1122472443024 = 320676^2 + 1059468^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1225305540001) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 3223627 + ... + 3583626.

Almost surely, 2^{1225305540000} is an apocalyptic number.

1225305540000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1225305540000 is an abundant number, since it is smaller than the sum of its proper divisors (3128879601306).

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

1225305540000 is an equidigital number, since it uses as much as digits as its factorization.

1225305540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6807289 (or 6807263 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 1225305540000 in words is "one trillion, two hundred twenty-five billion, three hundred five million, five hundred forty thousand".