122131944 has 192 divisors, whose sum is σ = 392221440. Its totient is φ = 33914880.

The previous prime is 122131939. The next prime is 122131949. The reversal of 122131944 is 449131221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122131939) and next prime (122131949).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (122131949) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 632712 + ... + 632904.

It is an arithmetic number, because the mean of its divisors is an integer number (2042820).

Almost surely, 2^122131944 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 122131944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196110720).

122131944 is an abundant number, since it is smaller than the sum of its proper divisors (270089496).

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

122131944 is a wasteful number, since it uses less digits than its factorization.

122131944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 273 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 122131944 is about 11051.3322273833. The cubic root of 122131944 is about 496.1462996287.

The spelling of 122131944 in words is "one hundred twenty-two million, one hundred thirty-one thousand, nine hundred forty-four".