121035168 has 192 divisors, whose sum is σ = 380419200. Its totient is φ = 37324800.

The previous prime is 121035139. The next prime is 121035179. The reversal of 121035168 is 861530121.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1198318 + ... + 1198418.

It is an arithmetic number, because the mean of its divisors is an integer number (1981350).

Almost surely, 2^121035168 is an apocalyptic number.

121035168 is a gapful number since it is divisible by the number (18) 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 121035168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190209600).

121035168 is an abundant number, since it is smaller than the sum of its proper divisors (259384032).

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

121035168 is a wasteful number, since it uses less digits than its factorization.

121035168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 121035168 is about 11001.5984293193. The cubic root of 121035168 is about 494.6566581414.

Adding to 121035168 its reverse (861530121), we get a palindrome (982565289).

It can be divided in two parts, 12103 and 5168, that added together give a palindrome (17271).

The spelling of 121035168 in words is "one hundred twenty-one million, thirty-five thousand, one hundred sixty-eight".