12121221201012 has 192 divisors, whose sum is σ = 39228885319680. Its totient is φ = 3144417148800.

The previous prime is 12121221200987. The next prime is 12121221201031. The reversal of 12121221201012 is 21010212212121.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5713437 + ... + 7542267.

It is an arithmetic number, because the mean of its divisors is an integer number (204317111040).

Almost surely, 2^{12121221201012} is an apocalyptic number.

12121221201012 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 12121221201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19614442659840).

12121221201012 is an abundant number, since it is smaller than the sum of its proper divisors (27107664118668).

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

12121221201012 is a wasteful number, since it uses less digits than its factorization.

12121221201012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829659 (or 1829651 counting only the distinct ones).

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

Adding to 12121221201012 its reverse (21010212212121), we get a palindrome (33131433413133).

The spelling of 12121221201012 in words is "twelve trillion, one hundred twenty-one billion, two hundred twenty-one million, two hundred one thousand, twelve".