121201200120000 has 6720 divisors, whose sum is σ = 593596202411520. Its totient is φ = 21366374400000.

The previous prime is 121201200119927. The next prime is 121201200120041. The reversal of 121201200120000 is 21002102121.

It is a tau number, because it is divible by the number of its divisors (6720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 871951079931 + ... + 871951080069.

It is an arithmetic number, because the mean of its divisors is an integer number (88332768216).

Almost surely, 2^{121201200120000} is an apocalyptic number.

121201200120000 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 121201200120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296798101205760).

121201200120000 is an abundant number, since it is smaller than the sum of its proper divisors (472395002291520).

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

121201200120000 is a wasteful number, since it uses less digits than its factorization.

121201200120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 258 counting only the distinct ones).

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

Adding to 121201200120000 its reverse (21002102121), we get a palindrome (121222202222121).

The spelling of 121201200120000 in words is "one hundred twenty-one trillion, two hundred one billion, two hundred million, one hundred twenty thousand".