121111102011200 has 168 divisors, whose sum is σ = 340618122919872. Its totient is φ = 41519368212480.

The previous prime is 121111102011121. The next prime is 121111102011253. The reversal of 121111102011200 is 2110201111121.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105076427 + ... + 106222773.

It is an arithmetic number, because the mean of its divisors is an integer number (2027488826904).

Almost surely, 2^{121111102011200} is an apocalyptic number.

121111102011200 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 121111102011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170309061459936).

121111102011200 is an abundant number, since it is smaller than the sum of its proper divisors (219507020908672).

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

121111102011200 is a wasteful number, since it uses less digits than its factorization.

121111102011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155809 (or 1155794 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 121111102011200 its reverse (2110201111121), we get a palindrome (123221303122321).

The spelling of 121111102011200 in words is "one hundred twenty-one trillion, one hundred eleven billion, one hundred two million, eleven thousand, two hundred".