1226788813110 has 288 divisors, whose sum is σ = 3649356253440. Its totient is φ = 263882884608.

The previous prime is 1226788813069. The next prime is 1226788813139. The reversal of 1226788813110 is 113188876221.

It is a super-3 number, since 3×1226788813110³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1226788813110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 145712481 + ... + 145720899.

It is an arithmetic number, because the mean of its divisors is an integer number (12671375880).

Almost surely, 2^{1226788813110} is an apocalyptic number.

1226788813110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1226788813110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824678126720).

1226788813110 is an abundant number, since it is smaller than the sum of its proper divisors (2422567440330).

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

1226788813110 is an frugal number, since it uses more digits than its factorization.

1226788813110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8498 (or 8453 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 48.

The spelling of 1226788813110 in words is "one trillion, two hundred twenty-six billion, seven hundred eighty-eight million, eight hundred thirteen thousand, one hundred ten".