121302122112 has 192 divisors, whose sum is σ = 359564736960. Its totient is φ = 39229747200.

The previous prime is 121302122057. The next prime is 121302122143. The reversal of 121302122112 is 211221203121.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 7471828 + ... + 7488044.

It is an arithmetic number, because the mean of its divisors is an integer number (1872733005).

Almost surely, 2^121302122112 is an apocalyptic number.

121302122112 is a gapful number since it is divisible by the number (12) 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 121302122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179782368480).

121302122112 is an abundant number, since it is smaller than the sum of its proper divisors (238262614848).

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

121302122112 is a wasteful number, since it uses less digits than its factorization.

121302122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16431 (or 16416 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 121302122112 its reverse (211221203121), we get a palindrome (332523325233).

The spelling of 121302122112 in words is "one hundred twenty-one billion, three hundred two million, one hundred twenty-two thousand, one hundred twelve".