12122101419920 has 80 divisors (see below), whose sum is σ = 28222805343600. Its totient is φ = 4842148749312.

The previous prime is 12122101419893. The next prime is 12122101419943. The reversal of 12122101419920 is 2991410122121.

It can be written as a sum of positive squares in 8 ways, for example, as 2393790707344 + 9728310712576 = 1547188^2 + 3119024^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 204483404 + ... + 204542676.

It is an arithmetic number, because the mean of its divisors is an integer number (352785066795).

Almost surely, 2^{12122101419920} is an apocalyptic number.

12122101419920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122101419920 is an abundant number, since it is smaller than the sum of its proper divisors (16100703923680).

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

12122101419920 is a wasteful number, since it uses less digits than its factorization.

12122101419920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62772 (or 62766 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 35.

The spelling of 12122101419920 in words is "twelve trillion, one hundred twenty-two billion, one hundred one million, four hundred nineteen thousand, nine hundred twenty".