1226820743676 has 144 divisors (see below), whose sum is σ = 3430447963488. Its totient is φ = 366558566400.

The previous prime is 1226820743671. The next prime is 1226820743719. The reversal of 1226820743676 is 6763470286221.

1226820743676 is a `hidden beast` number, since 12 + 2 + 68 + 207 + 4 + 367 + 6 = 666.

It is a super-2 number, since 2×1226820743676² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1226820743671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181452136 + ... + 181458896.

It is an arithmetic number, because the mean of its divisors is an integer number (23822555302).

Almost surely, 2^{1226820743676} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1226820743676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715223981744).

1226820743676 is an abundant number, since it is smaller than the sum of its proper divisors (2203627219812).

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

1226820743676 is a wasteful number, since it uses less digits than its factorization.

1226820743676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13132 (or 13127 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 1226820743676 in words is "one trillion, two hundred twenty-six billion, eight hundred twenty million, seven hundred forty-three thousand, six hundred seventy-six".