12211212121020 has 288 divisors, whose sum is σ = 41921142681600. Its totient is φ = 2850401664000.

The previous prime is 12211212120979. The next prime is 12211212121061. The reversal of 12211212121020 is 2012121211221.

12211212121020 is a `hidden beast` number, since 1 + 221 + 1 + 212 + 1 + 210 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (12211212120979) and next prime (12211212121061).

It is a super-2 number, since 2×12211212121020² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12211212120984 and 12211212121002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11714760 + ... + 12714480.

It is an arithmetic number, because the mean of its divisors is an integer number (145559523200).

Almost surely, 2^{12211212121020} is an apocalyptic number.

12211212121020 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 12211212121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20960571340800).

12211212121020 is an abundant number, since it is smaller than the sum of its proper divisors (29709930560580).

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

12211212121020 is a wasteful number, since it uses less digits than its factorization.

12211212121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999977 (or 999972 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12211212121020 its reverse (2012121211221), we get a palindrome (14223333332241).

The spelling of 12211212121020 in words is "twelve trillion, two hundred eleven billion, two hundred twelve million, one hundred twenty-one thousand, twenty".