121335525168 has 480 divisors, whose sum is σ = 405739031040. Its totient is φ = 30741258240.

The previous prime is 121335525167. The next prime is 121335525209. The reversal of 121335525168 is 861525533121.

It is a super-2 number, since 2×121335525168² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121335525167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56990728 + ... + 56992856.

It is an arithmetic number, because the mean of its divisors is an integer number (845289648).

Almost surely, 2^121335525168 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 121335525168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202869515520).

121335525168 is an abundant number, since it is smaller than the sum of its proper divisors (284403505872).

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

121335525168 is a wasteful number, since it uses less digits than its factorization.

121335525168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225 (or 2200 counting only the distinct ones).

The product of its digits is 216000, while the sum is 42.

The spelling of 121335525168 in words is "one hundred twenty-one billion, three hundred thirty-five million, five hundred twenty-five thousand, one hundred sixty-eight".