1225043680224 has 192 divisors, whose sum is σ = 3966321655296. Its totient is φ = 322395531264.

The previous prime is 1225043680219. The next prime is 1225043680229. The reversal of 1225043680224 is 4220863405221.

It is an interprime number because it is at equal distance from previous prime (1225043680219) and next prime (1225043680229).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225043680229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3929574 + ... + 4229850.

It is an arithmetic number, because the mean of its divisors is an integer number (20657925288).

Almost surely, 2^{1225043680224} is an apocalyptic number.

1225043680224 is a gapful number since it is divisible by the number (14) 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 1225043680224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983160827648).

1225043680224 is an abundant number, since it is smaller than the sum of its proper divisors (2741277975072).

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

1225043680224 is a wasteful number, since it uses less digits than its factorization.

1225043680224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300777 (or 300769 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 1225043680224 in words is "one trillion, two hundred twenty-five billion, forty-three million, six hundred eighty thousand, two hundred twenty-four".