121111200012 has 192 divisors, whose sum is σ = 337133422080. Its totient is φ = 33418137600.

The previous prime is 121111199999. The next prime is 121111200013. The reversal of 121111200012 is 210002111121.

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

It is not an unprimeable number, because it can be changed into a prime (121111200013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15024039 + ... + 15032097.

It is an arithmetic number, because the mean of its divisors is an integer number (1755903240).

Almost surely, 2^121111200012 is an apocalyptic number.

121111200012 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 121111200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168566711040).

121111200012 is an abundant number, since it is smaller than the sum of its proper divisors (216022222068).

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

121111200012 is a wasteful number, since it uses less digits than its factorization.

121111200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8312 (or 8310 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121111200012 its reverse (210002111121), we get a palindrome (331113311133).

It can be divided in two parts, 121111 and 200012, that added together give a palindrome (321123).

The spelling of 121111200012 in words is "one hundred twenty-one billion, one hundred eleven million, two hundred thousand, twelve".