122123136 has 64 divisors (see below), whose sum is σ = 334886400. Its totient is φ = 39390720.

The previous prime is 122123119. The next prime is 122123137. The reversal of 122123136 is 631321221.

It is a tau number, because it is divible by the number of its divisors (64).

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 (122123137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6775 + ... + 17033.

It is an arithmetic number, because the mean of its divisors is an integer number (5232600).

Almost surely, 2^122123136 is an apocalyptic number.

122123136 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 122123136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167443200).

122123136 is an abundant number, since it is smaller than the sum of its proper divisors (212763264).

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

122123136 is a wasteful number, since it uses less digits than its factorization.

122123136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10307 (or 10295 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 122123136 is about 11050.9337162070. The cubic root of 122123136 is about 496.1343721959.

Adding to 122123136 its reverse (631321221), we get a palindrome (753444357).

The spelling of 122123136 in words is "one hundred twenty-two million, one hundred twenty-three thousand, one hundred thirty-six".