122120666536 has 64 divisors (see below), whose sum is σ = 251618866560. Its totient is φ = 55104000000.

The previous prime is 122120666527. The next prime is 122120666567. The reversal of 122120666536 is 635666021221.

It is a happy number.

122120666536 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30520536 + ... + 30524536.

It is an arithmetic number, because the mean of its divisors is an integer number (3931544790).

Almost surely, 2^122120666536 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 122120666536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125809433280).

122120666536 is an abundant number, since it is smaller than the sum of its proper divisors (129498200024).

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

122120666536 is a wasteful number, since it uses less digits than its factorization.

122120666536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6466 (or 6462 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

Adding to 122120666536 its reverse (635666021221), we get a palindrome (757786687757).

The spelling of 122120666536 in words is "one hundred twenty-two billion, one hundred twenty million, six hundred sixty-six thousand, five hundred thirty-six".