1226542288320 has 448 divisors, whose sum is σ = 4568425305600. Its totient is φ = 308929904640.

The previous prime is 1226542288289. The next prime is 1226542288337. The reversal of 1226542288320 is 238822456221.

1226542288320 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 5 + 42 + 288 + 320 = 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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55310835 + ... + 55333005.

Almost surely, 2^{1226542288320} is an apocalyptic number.

1226542288320 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 1226542288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284212652800).

1226542288320 is an abundant number, since it is smaller than the sum of its proper divisors (3341883017280).

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

1226542288320 is a wasteful number, since it uses less digits than its factorization.

1226542288320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22553 (or 22537 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 1226542288320 in words is "one trillion, two hundred twenty-six billion, five hundred forty-two million, two hundred eighty-eight thousand, three hundred twenty".