12122022100000 has 144 divisors (see below), whose sum is σ = 30137175612936. Its totient is φ = 4798817280000.

The previous prime is 12122022099961. The next prime is 12122022100049. The reversal of 12122022100000 is 122022121.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 6207612114064 + 5914409985936 = 2491508^2 + 2431956^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9075154 + ... + 10324846.

Almost surely, 2^{12122022100000} is an apocalyptic number.

12122022100000 is a gapful number since it is divisible by the number (10) 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 12122022100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15068587806468).

12122022100000 is an abundant number, since it is smaller than the sum of its proper divisors (18015153512936).

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

12122022100000 is an frugal number, since it uses more digits than its factorization.

12122022100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249825 (or 1249797 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12122022100000 its reverse (122022121), we get a palindrome (12122144122121).

The spelling of 12122022100000 in words is "twelve trillion, one hundred twenty-two billion, twenty-two million, one hundred thousand".