121211121000112 has 240 divisors, whose sum is σ = 280349820748800. Its totient is φ = 50321291904000.

The previous prime is 121211121000071. The next prime is 121211121000143. The reversal of 121211121000112 is 211000121112121.

121211121000112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121211121000112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4887729889 + ... + 4887754687.

It is an arithmetic number, because the mean of its divisors is an integer number (1168124253120).

Almost surely, 2^{121211121000112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121211121000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140174910374400).

121211121000112 is an abundant number, since it is smaller than the sum of its proper divisors (159138699748688).

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

121211121000112 is a wasteful number, since it uses less digits than its factorization.

121211121000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26572 (or 26553 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 121211121000112 its reverse (211000121112121), we get a palindrome (332211242112233).

The spelling of 121211121000112 in words is "one hundred twenty-one trillion, two hundred eleven billion, one hundred twenty-one million, one hundred twelve", and thus it is an aban number.