121201200120 has 1536 divisors, whose sum is σ = 538615526400. Its totient is φ = 21366374400.

The previous prime is 121201200101. The next prime is 121201200151. The reversal of 121201200120 is 21002102121.

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 = 121201200096 and 121201200105.

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 871951011 + ... + 871951149.

It is an arithmetic number, because the mean of its divisors is an integer number (350661150).

Almost surely, 2^121201200120 is an apocalyptic number.

121201200120 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 121201200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269307763200).

121201200120 is an abundant number, since it is smaller than the sum of its proper divisors (417414326280).

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

121201200120 is a wasteful number, since it uses less digits than its factorization.

121201200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 258 counting only the distinct ones).

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

Adding to 121201200120 its reverse (21002102121), we get a palindrome (142203302241).

The spelling of 121201200120 in words is "one hundred twenty-one billion, two hundred one million, two hundred thousand, one hundred twenty".