1221144168192 has 576 divisors, whose sum is σ = 3745379291136. Its totient is φ = 350355456000.

The previous prime is 1221144168149. The next prime is 1221144168229. The reversal of 1221144168192 is 2918614411221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1626023817 + ... + 1626024567.

Almost surely, 2^{1221144168192} is an apocalyptic number.

1221144168192 is a gapful number since it is divisible by the number (12) 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 1221144168192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872689645568).

1221144168192 is an abundant number, since it is smaller than the sum of its proper divisors (2524235122944).

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

1221144168192 is a wasteful number, since it uses less digits than its factorization.

1221144168192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 962 counting only the distinct ones).

The product of its digits is 55296, while the sum is 42.

The spelling of 1221144168192 in words is "one trillion, two hundred twenty-one billion, one hundred forty-four million, one hundred sixty-eight thousand, one hundred ninety-two".