122111878050 has 450 divisors, whose sum is σ = 380467542213. Its totient is φ = 29034650880.

The previous prime is 122111878037. The next prime is 122111878079. The reversal of 122111878050 is 50878111221.

It can be written as a sum of positive squares in 8 ways, for example, as 23005912329 + 99105965721 = 151677^2 + 314811^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=247095.

It is a super-2 number, since 2×122111878050² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122111877996 and 122111878014.

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 6426940941 + ... + 6426940959.

Almost surely, 2^122111878050 is an apocalyptic number.

122111878050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122111878050

122111878050 is an abundant number, since it is smaller than the sum of its proper divisors (258355664163).

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

122111878050 is an frugal number, since it uses more digits than its factorization.

122111878050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 36.

Adding to 122111878050 its reverse (50878111221), we get a palindrome (172989989271).

The spelling of 122111878050 in words is "one hundred twenty-two billion, one hundred eleven million, eight hundred seventy-eight thousand, fifty".