121201212000 has 384 divisors, whose sum is σ = 437487837696. Its totient is φ = 29088000000.

The previous prime is 121201211987. The next prime is 121201212001. The reversal of 121201212000 is 212102121.

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 (121201212001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13327455 + ... + 13336545.

It is an arithmetic number, because the mean of its divisors is an integer number (1139291244).

Almost surely, 2^121201212000 is an apocalyptic number.

121201212000 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 121201212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218743918848).

121201212000 is an abundant number, since it is smaller than the sum of its proper divisors (316286625696).

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

121201212000 is a wasteful number, since it uses less digits than its factorization.

121201212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9231 (or 9213 counting only the distinct ones).

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

Adding to 121201212000 its reverse (212102121), we get a palindrome (121413314121).

It can be divided in two parts, 12120121 and 2000, that added together give a palindrome (12122121).

The spelling of 121201212000 in words is "one hundred twenty-one billion, two hundred one million, two hundred twelve thousand".