122101416 has 24 divisors (see below), whose sum is σ = 330691530. Its totient is φ = 40700448.

The previous prime is 122101409. The next prime is 122101417. The reversal of 122101416 is 614101221.

It can be written as a sum of positive squares in only one way, i.e., 113422500 + 8678916 = 10650^2 + 2946^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 (122101417) 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, 847855 + ... + 847998.

Almost surely, 2^122101416 is an apocalyptic number.

It is an amenable number.

122101416 is an abundant number, since it is smaller than the sum of its proper divisors (208590114).

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

122101416 is a wasteful number, since it uses less digits than its factorization.

122101416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695865 (or 1695858 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 122101416 is about 11049.9509501174. The cubic root of 122101416 is about 496.1049574106.

Adding to 122101416 its reverse (614101221), we get a palindrome (736202637).

The spelling of 122101416 in words is "one hundred twenty-two million, one hundred one thousand, four hundred sixteen".