1222117671600 has 720 divisors, whose sum is σ = 5251502310912. Its totient is φ = 256791306240.

The previous prime is 1222117671479. The next prime is 1222117671611. The reversal of 1222117671600 is 61767112221.

1222117671600 is a `hidden beast` number, since 1 + 22 + 21 + 1 + 7 + 6 + 7 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 18388029 + ... + 18454371.

Almost surely, 2^{1222117671600} is an apocalyptic number.

1222117671600 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 1222117671600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625751155456).

1222117671600 is an abundant number, since it is smaller than the sum of its proper divisors (4029384639312).

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

1222117671600 is a wasteful number, since it uses less digits than its factorization.

1222117671600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66434 (or 66420 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 1222117671600 in words is "one trillion, two hundred twenty-two billion, one hundred seventeen million, six hundred seventy-one thousand, six hundred".