121212000120 has 256 divisors, whose sum is σ = 384130252800. Its totient is φ = 30556961280.

The previous prime is 121212000097. The next prime is 121212000121. The reversal of 121212000120 is 21000212121.

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

It is a junction number, because it is equal to n+sod(n) for n = 121212000096 and 121212000105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121212000121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36651507 + ... + 36654813.

It is an arithmetic number, because the mean of its divisors is an integer number (1500508800).

Almost surely, 2^121212000120 is an apocalyptic number.

121212000120 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 121212000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192065126400).

121212000120 is an abundant number, since it is smaller than the sum of its proper divisors (262918252680).

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

121212000120 is a wasteful number, since it uses less digits than its factorization.

121212000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3578 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 121212000120 its reverse (21000212121), we get a palindrome (142212212241).

The spelling of 121212000120 in words is "one hundred twenty-one billion, two hundred twelve million, one hundred twenty", and thus it is an aban number.