122181336 has 96 divisors (see below), whose sum is σ = 349596000. Its totient is φ = 38472192.

The previous prime is 122181331. The next prime is 122181337. The reversal of 122181336 is 633181221.

It is a happy number.

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 (122181331) 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 23 ways as a sum of consecutive naturals, for example, 146970 + ... + 147798.

It is an arithmetic number, because the mean of its divisors is an integer number (3641625).

Almost surely, 2^122181336 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 122181336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174798000).

122181336 is an abundant number, since it is smaller than the sum of its proper divisors (227414664).

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

122181336 is a wasteful number, since it uses less digits than its factorization.

122181336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 946 counting only the distinct ones).

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

The square root of 122181336 is about 11053.5666642039. The cubic root of 122181336 is about 496.2131736298.

The spelling of 122181336 in words is "one hundred twenty-two million, one hundred eighty-one thousand, three hundred thirty-six".