122101664 has 36 divisors (see below), whose sum is σ = 251328546. Its totient is φ = 58388352.

The previous prime is 122101607. The next prime is 122101669. The reversal of 122101664 is 466101221.

It can be written as a sum of positive squares in only one way, i.e., 86341264 + 35760400 = 9292^2 + 5980^2 .

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (122101669) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13322 + ... + 20534.

Almost surely, 2^122101664 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 122101664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125664273).

122101664 is an abundant number, since it is smaller than the sum of its proper divisors (129226882).

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

122101664 is an equidigital number, since it uses as much as digits as its factorization.

122101664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7269 (or 7238 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 122101664 is about 11049.9621718810. The cubic root of 122101664 is about 496.1052932897.

Adding to 122101664 its reverse (466101221), we get a palindrome (588202885).

The spelling of 122101664 in words is "one hundred twenty-two million, one hundred one thousand, six hundred sixty-four".