122211936 has 288 divisors, whose sum is σ = 450455040. Its totient is φ = 31553280.

The previous prime is 122211931. The next prime is 122211937. The reversal of 122211936 is 639112221.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (122211931) 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, 731725 + ... + 731891.

It is an arithmetic number, because the mean of its divisors is an integer number (1564080).

Almost surely, 2^122211936 is an apocalyptic number.

122211936 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 122211936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225227520).

122211936 is an abundant number, since it is smaller than the sum of its proper divisors (328243104).

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

122211936 is a wasteful number, since it uses less digits than its factorization.

122211936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 190 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 122211936 is about 11054.9507461589. The cubic root of 122211936 is about 496.2545952746.

The spelling of 122211936 in words is "one hundred twenty-two million, two hundred eleven thousand, nine hundred thirty-six".