12222011121012 has 768 divisors, whose sum is σ = 40808355840000. Its totient is φ = 3161805736320.

The previous prime is 12222011121007. The next prime is 12222011121017. The reversal of 12222011121012 is 21012111022221.

12222011121012 is a `hidden beast` number, since 122 + 220 + 111 + 210 + 1 + 2 = 666.

12222011121012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12222011121007) and next prime (12222011121017).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12222011121017) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 24011809414 + ... + 24011809922.

It is an arithmetic number, because the mean of its divisors is an integer number (53135880000).

Almost surely, 2^{12222011121012} is an apocalyptic number.

12222011121012 is a gapful number since it is divisible by the number (12) 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 12222011121012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20404177920000).

12222011121012 is an abundant number, since it is smaller than the sum of its proper divisors (28586344718988).

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

12222011121012 is a wasteful number, since it uses less digits than its factorization.

12222011121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1019 counting only the distinct ones).

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

Adding to 12222011121012 its reverse (21012111022221), we get a palindrome (33234122143233).

The spelling of 12222011121012 in words is "twelve trillion, two hundred twenty-two billion, eleven million, one hundred twenty-one thousand, twelve".