122004144 has 100 divisors (see below), whose sum is σ = 368558256. Its totient is φ = 38890368.

The previous prime is 122004109. The next prime is 122004161. The reversal of 122004144 is 441400221.

It is a super-2 number, since 2×122004144² = 29770022306345472, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27762 + ... + 31854.

Almost surely, 2^122004144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122004144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184279128).

122004144 is an abundant number, since it is smaller than the sum of its proper divisors (246554112).

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

122004144 is a wasteful number, since it uses less digits than its factorization.

122004144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4136 (or 4121 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 122004144 is about 11045.5486056601. The cubic root of 122004144 is about 495.9731818660.

Adding to 122004144 its reverse (441400221), we get a palindrome (563404365).

The spelling of 122004144 in words is "one hundred twenty-two million, four thousand, one hundred forty-four".