1226089781280 has 3456 divisors, whose sum is σ = 5994696314880. Its totient is φ = 230577684480.

The previous prime is 1226089781269. The next prime is 1226089781291. The reversal of 1226089781280 is 821879806221.

1226089781280 is a `hidden beast` number, since 1 + 2 + 2 + 608 + 9 + 7 + 8 + 1 + 28 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1226089781269) and next prime (1226089781291).

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

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 575 ways as a sum of consecutive naturals, for example, 20099832450 + ... + 20099832510.

It is an arithmetic number, because the mean of its divisors is an integer number (1734576480).

Almost surely, 2^{1226089781280} is an apocalyptic number.

1226089781280 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 1226089781280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2997348157440).

1226089781280 is an abundant number, since it is smaller than the sum of its proper divisors (4768606533600).

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

1226089781280 is a wasteful number, since it uses less digits than its factorization.

1226089781280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 1226089781280 in words is "one trillion, two hundred twenty-six billion, eighty-nine million, seven hundred eighty-one thousand, two hundred eighty".