121113010200000 has 1344 divisors, whose sum is σ = 506292211224576. Its totient is φ = 24862464000000.

The previous prime is 121113010199903. The next prime is 121113010200001. The reversal of 121113010200000 is 2010311121.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×121113010200000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121113010200001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2020170025 + ... + 2020229975.

It is an arithmetic number, because the mean of its divisors is an integer number (376705514304).

Almost surely, 2^{121113010200000} is an apocalyptic number.

121113010200000 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 121113010200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253146105612288).

121113010200000 is an abundant number, since it is smaller than the sum of its proper divisors (385179201024576).

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

121113010200000 is an equidigital number, since it uses as much as digits as its factorization.

121113010200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60048 (or 60018 counting only the distinct ones).

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

Adding to 121113010200000 its reverse (2010311121), we get a palindrome (121115020511121).

The spelling of 121113010200000 in words is "one hundred twenty-one trillion, one hundred thirteen billion, ten million, two hundred thousand".