121822160 has 40 divisors (see below), whose sum is σ = 286059816. Its totient is φ = 48243200.

The previous prime is 121822159. The next prime is 121822163. The reversal of 121822160 is 61228121.

It can be written as a sum of positive squares in 4 ways, for example, as 11235904 + 110586256 = 3352^2 + 10516^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121822163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 542 + ... + 15618.

Almost surely, 2^121822160 is an apocalyptic number.

121822160 is a gapful number since it is divisible by the number (10) 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 121822160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143029908).

121822160 is an abundant number, since it is smaller than the sum of its proper divisors (164237656).

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

121822160 is a wasteful number, since it uses less digits than its factorization.

121822160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15191 (or 15185 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 121822160 is about 11037.3076427179. The cubic root of 121822160 is about 495.7264577376.

The spelling of 121822160 in words is "one hundred twenty-one million, eight hundred twenty-two thousand, one hundred sixty".