121165632 has 294 divisors, whose sum is σ = 427260258. Its totient is φ = 33965568.

The previous prime is 121165621. The next prime is 121165663. The reversal of 121165632 is 236561121.

121165632 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 656 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 112021056 + 9144576 = 10584^2 + 3024^2 .

It is a tau number, because it is divible by the number of its divisors (294).

It is a super-2 number, since 2×121165632² = 29362220755918848, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 121165596 and 121165605.

It is a congruent number.

It is an unprimeable number.

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 41 ways as a sum of consecutive naturals, for example, 2286118 + ... + 2286170.

Almost surely, 2^121165632 is an apocalyptic number.

121165632 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 121165632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213630129).

121165632 is an abundant number, since it is smaller than the sum of its proper divisors (306094626).

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

121165632 is an frugal number, since it uses more digits than its factorization.

121165632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 65 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 121165632 is about 11007.5261525921. The cubic root of 121165632 is about 494.8343247204.

The spelling of 121165632 in words is "one hundred twenty-one million, one hundred sixty-five thousand, six hundred thirty-two".