1221480972768 has 384 divisors, whose sum is σ = 3898881423360. Its totient is φ = 327533690880.

The previous prime is 1221480972667. The next prime is 1221480972787. The reversal of 1221480972768 is 8672790841221.

It is a super-4 number, since 4×1221480972768⁴ (a number of 49 digits) contains 4444 as substring.

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, 90722005 + ... + 90735467.

It is an arithmetic number, because the mean of its divisors is an integer number (10153337040).

Almost surely, 2^{1221480972768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221480972768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949440711680).

1221480972768 is an abundant number, since it is smaller than the sum of its proper divisors (2677400450592).

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

1221480972768 is a wasteful number, since it uses less digits than its factorization.

1221480972768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13650 (or 13642 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 57.

The spelling of 1221480972768 in words is "one trillion, two hundred twenty-one billion, four hundred eighty million, nine hundred seventy-two thousand, seven hundred sixty-eight".