122006160 has 120 divisors (see below), whose sum is σ = 419832504. Its totient is φ = 31733760.

The previous prime is 122006149. The next prime is 122006167. The reversal of 122006160 is 61600221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3283344 + 118722816 = 1812^2 + 10896^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (122006167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27454 + ... + 31586.

Almost surely, 2^122006160 is an apocalyptic number.

122006160 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 122006160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209916252).

122006160 is an abundant number, since it is smaller than the sum of its proper divisors (297826344).

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

122006160 is a wasteful number, since it uses less digits than its factorization.

122006160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4193 (or 4184 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 122006160 is about 11045.6398637652. The cubic root of 122006160 is about 495.9759136760.

Adding to 122006160 its reverse (61600221), we get a palindrome (183606381).

The spelling of 122006160 in words is "one hundred twenty-two million, six thousand, one hundred sixty".