122161120 has 48 divisors (see below), whose sum is σ = 292587120. Its totient is φ = 48190464.

The previous prime is 122161069. The next prime is 122161147. The reversal of 122161120 is 21161221.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 122161094 and 122161103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6451 + ... + 16909.

It is an arithmetic number, because the mean of its divisors is an integer number (6095565).

Almost surely, 2^122161120 is an apocalyptic number.

122161120 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 122161120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146293560).

122161120 is an abundant number, since it is smaller than the sum of its proper divisors (170426000).

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

122161120 is a wasteful number, since it uses less digits than its factorization.

122161120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10547 (or 10539 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 122161120 is about 11052.6521704069. The cubic root of 122161120 is about 496.1858044774.

The spelling of 122161120 in words is "one hundred twenty-two million, one hundred sixty-one thousand, one hundred twenty".