12101220221112 has 288 divisors, whose sum is σ = 37017066581040. Its totient is φ = 3566098483200.

The previous prime is 12101220221089. The next prime is 12101220221119. The reversal of 12101220221112 is 21112202210121.

12101220221112 is a `hidden beast` number, since 1 + 210 + 1 + 220 + 221 + 1 + 12 = 666.

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 (12101220221119) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 710115312 + ... + 710132352.

Almost surely, 2^{12101220221112} is an apocalyptic number.

12101220221112 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 12101220221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18508533290520).

12101220221112 is an abundant number, since it is smaller than the sum of its proper divisors (24915846359928).

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

12101220221112 is a wasteful number, since it uses less digits than its factorization.

12101220221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19315 (or 19297 counting only the distinct ones).

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

Adding to 12101220221112 its reverse (21112202210121), we get a palindrome (33213422431233).

The spelling of 12101220221112 in words is "twelve trillion, one hundred one billion, two hundred twenty million, two hundred twenty-one thousand, one hundred twelve".