121643136 has 96 divisors (see below), whose sum is σ = 365339520. Its totient is φ = 38776320.

The previous prime is 121643131. The next prime is 121643147. The reversal of 121643136 is 631346121.

121643136 is a `hidden beast` number, since 1 + 2 + 1 + 643 + 13 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121643131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24201 + ... + 28791.

It is an arithmetic number, because the mean of its divisors is an integer number (3805620).

Almost surely, 2^121643136 is an apocalyptic number.

121643136 is a gapful number since it is divisible by the number (16) 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 121643136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182669760).

121643136 is an abundant number, since it is smaller than the sum of its proper divisors (243696384).

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

121643136 is a wasteful number, since it uses less digits than its factorization.

121643136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4634 (or 4619 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 121643136 is about 11029.1947122172. The cubic root of 121643136 is about 495.4835067517.

Adding to 121643136 its reverse (631346121), we get a palindrome (752989257).

The spelling of 121643136 in words is "one hundred twenty-one million, six hundred forty-three thousand, one hundred thirty-six".