1224189165216 has 192 divisors, whose sum is σ = 3280054901760. Its totient is φ = 399698657280.

The previous prime is 1224189165163. The next prime is 1224189165229. The reversal of 1224189165216 is 6125619814221.

It is a super-2 number, since 2×1224189165216² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 850721425 + ... + 850722863.

It is an arithmetic number, because the mean of its divisors is an integer number (17083619280).

Almost surely, 2^{1224189165216} is an apocalyptic number.

1224189165216 is a gapful number since it is divisible by the number (16) 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 1224189165216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640027450880).

1224189165216 is an abundant number, since it is smaller than the sum of its proper divisors (2055865736544).

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

1224189165216 is a wasteful number, since it uses less digits than its factorization.

1224189165216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279 (or 2271 counting only the distinct ones).

The product of its digits is 414720, while the sum is 48.

The spelling of 1224189165216 in words is "one trillion, two hundred twenty-four billion, one hundred eighty-nine million, one hundred sixty-five thousand, two hundred sixteen".