122001536 has 32 divisors (see below), whose sum is σ = 245482380. Its totient is φ = 60390400.

The previous prime is 122001533. The next prime is 122001559. The reversal of 122001536 is 635100221.

It can be written as a sum of positive squares in 2 ways, for example, as 109327936 + 12673600 = 10456^2 + 3560^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (122001533) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8210 + ... + 17646.

Almost surely, 2^122001536 is an apocalyptic number.

122001536 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 122001536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122741190).

122001536 is an abundant number, since it is smaller than the sum of its proper divisors (123480844).

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

122001536 is an equidigital number, since it uses as much as digits as its factorization.

122001536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9552 (or 9540 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 122001536 is about 11045.4305484214. The cubic root of 122001536 is about 495.9696478132.

Adding to 122001536 its reverse (635100221), we get a palindrome (757101757).

The spelling of 122001536 in words is "one hundred twenty-two million, one thousand, five hundred thirty-six".