121633185168 has 320 divisors, whose sum is σ = 387404847360. Its totient is φ = 36229939200.

The previous prime is 121633185151. The next prime is 121633185209. The reversal of 121633185168 is 861581336121.

121633185168 is a `hidden beast` number, since 1 + 2 + 1 + 633 + 1 + 8 + 5 + 1 + 6 + 8 = 666.

It is a super-2 number, since 2×121633185168² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 180732480 + ... + 180733152.

It is an arithmetic number, because the mean of its divisors is an integer number (1210640148).

Almost surely, 2^121633185168 is an apocalyptic number.

121633185168 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 121633185168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193702423680).

121633185168 is an abundant number, since it is smaller than the sum of its proper divisors (265771662192).

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

121633185168 is a wasteful number, since it uses less digits than its factorization.

121633185168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1283 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 121633185168 in words is "one hundred twenty-one billion, six hundred thirty-three million, one hundred eighty-five thousand, one hundred sixty-eight".