122211072 has 72 divisors (see below), whose sum is σ = 361420080. Its totient is φ = 40734720.

The previous prime is 122211053. The next prime is 122211077. The reversal of 122211072 is 270112221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×122211072² = 29871092238778368, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (122211077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1929 + ... + 15752.

Almost surely, 2^122211072 is an apocalyptic number.

122211072 is a gapful number since it is divisible by the number (12) 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 122211072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180710040).

122211072 is an abundant number, since it is smaller than the sum of its proper divisors (239209008).

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

122211072 is an equidigital number, since it uses as much as digits as its factorization.

122211072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17706 (or 17686 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 122211072 is about 11054.9116685752. The cubic root of 122211072 is about 496.2534258171.

Adding to 122211072 its reverse (270112221), we get a palindrome (392323293).

The spelling of 122211072 in words is "one hundred twenty-two million, two hundred eleven thousand, seventy-two".