121023168 has 112 divisors (see below), whose sum is σ = 373075200. Its totient is φ = 33905664.

The previous prime is 121023157. The next prime is 121023169. The reversal of 121023168 is 861320121.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (121023169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70383 + ... + 72081.

Almost surely, 2^121023168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121023168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186537600).

121023168 is an abundant number, since it is smaller than the sum of its proper divisors (252052032).

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

121023168 is a wasteful number, since it uses less digits than its factorization.

121023168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 121023168 is about 11001.0530405048. The cubic root of 121023168 is about 494.6403100662.

Adding to 121023168 its reverse (861320121), we get a palindrome (982343289).

It can be divided in two parts, 12 and 1023168, that multiplied together give a square (12278016 = 3504²).

The spelling of 121023168 in words is "one hundred twenty-one million, twenty-three thousand, one hundred sixty-eight".