1228755122496 has 1008 divisors, whose sum is σ = 4317758175744. Its totient is φ = 329785344000.

The previous prime is 1228755122447. The next prime is 1228755122501. The reversal of 1228755122496 is 6942215578221.

1228755122496 is a `hidden beast` number, since 1 + 2 + 2 + 87 + 5 + 51 + 22 + 496 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16832261916 + ... + 16832261988.

Almost surely, 2^{1228755122496} is an apocalyptic number.

1228755122496 is a gapful number since it is divisible by the number (16) 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 1228755122496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158879087872).

1228755122496 is an abundant number, since it is smaller than the sum of its proper divisors (3089003053248).

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

1228755122496 is a wasteful number, since it uses less digits than its factorization.

1228755122496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 208 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 1228755122496 in words is "one trillion, two hundred twenty-eight billion, seven hundred fifty-five million, one hundred twenty-two thousand, four hundred ninety-six".