1226918125728 has 384 divisors, whose sum is σ = 3852438589440. Its totient is φ = 378890265600.

The previous prime is 1226918125721. The next prime is 1226918125753. The reversal of 1226918125728 is 8275218196221.

It is a happy number.

1226918125728 is a `hidden beast` number, since 1 + 2 + 2 + 69 + 1 + 8 + 1 + 2 + 572 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1226918125721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166901253 + ... + 166908603.

It is an arithmetic number, because the mean of its divisors is an integer number (10032392160).

Almost surely, 2^{1226918125728} is an apocalyptic number.

1226918125728 is a gapful number since it is divisible by the number (18) 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 1226918125728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926219294720).

1226918125728 is an abundant number, since it is smaller than the sum of its proper divisors (2625520463712).

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

1226918125728 is a wasteful number, since it uses less digits than its factorization.

1226918125728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7657 (or 7643 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The spelling of 1226918125728 in words is "one trillion, two hundred twenty-six billion, nine hundred eighteen million, one hundred twenty-five thousand, seven hundred twenty-eight".