121012110201200 has 120 divisors (see below), whose sum is σ = 307854803174400. Its totient is φ = 45554340659200.

The previous prime is 121012110201181. The next prime is 121012110201209. The reversal of 121012110201200 is 2102011210121.

121012110201200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121012110201209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98608976 + ... + 99828624.

It is an arithmetic number, because the mean of its divisors is an integer number (2565456693120).

Almost surely, 2^{121012110201200} is an apocalyptic number.

121012110201200 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 121012110201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153927401587200).

121012110201200 is an abundant number, since it is smaller than the sum of its proper divisors (186842692973200).

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

121012110201200 is a wasteful number, since it uses less digits than its factorization.

121012110201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234275 (or 1234264 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121012110201200 its reverse (2102011210121), we get a palindrome (123114121411321).

The spelling of 121012110201200 in words is "one hundred twenty-one trillion, twelve billion, one hundred ten million, two hundred one thousand, two hundred".