20121122000000 has 224 divisors, whose sum is σ = 57263660765760. Its totient is φ = 6898665600000.

The previous prime is 20121121999967. The next prime is 20121122000009. The reversal of 20121122000000 is 22112102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (20121122000009) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 13281389 + ... + 14718611.

Almost surely, 2^{20121122000000} is an apocalyptic number.

20121122000000 is a gapful number since it is divisible by the number (20) 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 20121122000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28631830382880).

20121122000000 is an abundant number, since it is smaller than the sum of its proper divisors (37142538765760).

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

20121122000000 is an frugal number, since it uses more digits than its factorization.

20121122000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437274 (or 1437237 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20121122000000 its reverse (22112102), we get a palindrome (20121144112102).

The spelling of 20121122000000 in words is "twenty trillion, one hundred twenty-one billion, one hundred twenty-two million", and thus it is an aban number.