1226447133660 has 1152 divisors, whose sum is σ = 4815562752000. Its totient is φ = 251364072960.

The previous prime is 1226447133647. The next prime is 1226447133719. The reversal of 1226447133660 is 663317446221.

1226447133660 is a `hidden beast` number, since 12 + 2 + 6 + 447 + 133 + 6 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 3534429607 + ... + 3534429953.

It is an arithmetic number, because the mean of its divisors is an integer number (4180176000).

Almost surely, 2^{1226447133660} is an apocalyptic number.

1226447133660 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 1226447133660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407781376000).

1226447133660 is an abundant number, since it is smaller than the sum of its proper divisors (3589115618340).

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

1226447133660 is a wasteful number, since it uses less digits than its factorization.

1226447133660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 1226447133660 in words is "one trillion, two hundred twenty-six billion, four hundred forty-seven million, one hundred thirty-three thousand, six hundred sixty".