1226009342880 has 1536 divisors, whose sum is σ = 5643509760000. Its totient is φ = 241745264640.

The previous prime is 1226009342879. The next prime is 1226009342891. The reversal of 1226009342880 is 882439006221.

1226009342880 is a `hidden beast` number, since 1 + 2 + 2 + 60 + 0 + 93 + 428 + 80 = 666.

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

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 255 ways as a sum of consecutive naturals, for example, 302791096 + ... + 302795144.

It is an arithmetic number, because the mean of its divisors is an integer number (3674160000).

Almost surely, 2^{1226009342880} is an apocalyptic number.

1226009342880 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 1226009342880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821754880000).

1226009342880 is an abundant number, since it is smaller than the sum of its proper divisors (4417500417120).

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

1226009342880 is a wasteful number, since it uses less digits than its factorization.

1226009342880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4147 (or 4133 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1226009342880 in words is "one trillion, two hundred twenty-six billion, nine million, three hundred forty-two thousand, eight hundred eighty".