1225588656000 has 512 divisors, whose sum is σ = 4148449344000. Its totient is φ = 319996723200.

The previous prime is 1225588655999. The next prime is 1225588656043. The reversal of 1225588656000 is 6568855221.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 575662936 + ... + 575665064.

It is an arithmetic number, because the mean of its divisors is an integer number (8102440125).

Almost surely, 2^{1225588656000} is an apocalyptic number.

1225588656000 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 1225588656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074224672000).

1225588656000 is an abundant number, since it is smaller than the sum of its proper divisors (2922860688000).

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

1225588656000 is a wasteful number, since it uses less digits than its factorization.

1225588656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 48.

The spelling of 1225588656000 in words is "one trillion, two hundred twenty-five billion, five hundred eighty-eight million, six hundred fifty-six thousand".