12122011020 has 384 divisors, whose sum is σ = 43142400000. Its totient is φ = 2532031488.

The previous prime is 12122011009. The next prime is 12122011043. The reversal of 12122011020 is 2011022121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12122010987 and 12122011005.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11339046 + ... + 11340114.

It is an arithmetic number, because the mean of its divisors is an integer number (112350000).

Almost surely, 2^12122011020 is an apocalyptic number.

12122011020 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 12122011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21571200000).

12122011020 is an abundant number, since it is smaller than the sum of its proper divisors (31020388980).

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

12122011020 is a wasteful number, since it uses less digits than its factorization.

12122011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12122011020 its reverse (2011022121), we get a palindrome (14133033141).

The spelling of 12122011020 in words is "twelve billion, one hundred twenty-two million, eleven thousand, twenty".