121313012220000 has 720 divisors, whose sum is σ = 466045734314160. Its totient is φ = 29819155968000.

The previous prime is 121313012219953. The next prime is 121313012220041. The reversal of 121313012220000 is 22210313121.

121313012220000 is a `hidden beast` number, since 1 + 213 + 130 + 122 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 126060654 + ... + 127019346.

It is an arithmetic number, because the mean of its divisors is an integer number (647285742103).

Almost surely, 2^{121313012220000} is an apocalyptic number.

121313012220000 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 121313012220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233022867157080).

121313012220000 is an abundant number, since it is smaller than the sum of its proper divisors (344732722094160).

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

121313012220000 is a wasteful number, since it uses less digits than its factorization.

121313012220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958785 (or 958759 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121313012220000 its reverse (22210313121), we get a palindrome (121335222533121).

The spelling of 121313012220000 in words is "one hundred twenty-one trillion, three hundred thirteen billion, twelve million, two hundred twenty thousand".