121201012112120 has 128 divisors (see below), whose sum is σ = 287665575724800. Its totient is φ = 45831183538176.

The previous prime is 121201012112113. The next prime is 121201012112149. The reversal of 121201012112120 is 21211210102121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1078215839 + ... + 1078328241.

It is an arithmetic number, because the mean of its divisors is an integer number (2247387310350).

Almost surely, 2^{121201012112120} is an apocalyptic number.

121201012112120 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 121201012112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143832787862400).

121201012112120 is an abundant number, since it is smaller than the sum of its proper divisors (166464563612680).

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

121201012112120 is a wasteful number, since it uses less digits than its factorization.

121201012112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115437 (or 115433 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 121201012112120 its reverse (21211210102121), we get a palindrome (142412222214241).

The spelling of 121201012112120 in words is "one hundred twenty-one trillion, two hundred one billion, twelve million, one hundred twelve thousand, one hundred twenty".