121000121012120 has 512 divisors, whose sum is σ = 324129496320000. Its totient is φ = 39803520614400.

The previous prime is 121000121012059. The next prime is 121000121012137. The reversal of 121000121012120 is 21210121000121.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 121000121012095 and 121000121012104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44831462531 + ... + 44831465229.

It is an arithmetic number, because the mean of its divisors is an integer number (633065422500).

Almost surely, 2^{121000121012120} is an apocalyptic number.

121000121012120 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 121000121012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162064748160000).

121000121012120 is an abundant number, since it is smaller than the sum of its proper divisors (203129375307880).

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

121000121012120 is a wasteful number, since it uses less digits than its factorization.

121000121012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3251 (or 3247 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121000121012120 its reverse (21210121000121), we get a palindrome (142210242012241).

The spelling of 121000121012120 in words is "one hundred twenty-one trillion, one hundred twenty-one million, twelve thousand, one hundred twenty".