1221130100736 has 1344 divisors, whose sum is σ = 4631204108160. Its totient is φ = 319046418432.

The previous prime is 1221130100717. The next prime is 1221130100759. The reversal of 1221130100736 is 6370010311221.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11412430795 + ... + 11412430901.

It is an arithmetic number, because the mean of its divisors is an integer number (3445836390).

Almost surely, 2^{1221130100736} is an apocalyptic number.

1221130100736 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 1221130100736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315602054080).

1221130100736 is an abundant number, since it is smaller than the sum of its proper divisors (3410074007424).

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

1221130100736 is an frugal number, since it uses more digits than its factorization.

1221130100736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 1221130100736 its reverse (6370010311221), we get a palindrome (7591140411957).

The spelling of 1221130100736 in words is "one trillion, two hundred twenty-one billion, one hundred thirty million, one hundred thousand, seven hundred thirty-six".