122120333114130 has 96 divisors (see below), whose sum is σ = 345073969159920. Its totient is φ = 29784606266880.

The previous prime is 122120333114119. The next prime is 122120333114149. The reversal of 122120333114130 is 31411333021221.

122120333114130 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 203 + 33 + 11 + 413 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 50865580904121 + 71254752210009 = 7132011^2 + 8441253^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122120333114094 and 122120333114103.

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 47 ways as a sum of consecutive naturals, for example, 478663081 + ... + 478918140.

Almost surely, 2^{122120333114130} is an apocalyptic number.

122120333114130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122120333114130 is an abundant number, since it is smaller than the sum of its proper divisors (222953636045790).

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

122120333114130 is a wasteful number, since it uses less digits than its factorization.

122120333114130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957581356 (or 957581353 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 122120333114130 its reverse (31411333021221), we get a palindrome (153531666135351).

The spelling of 122120333114130 in words is "one hundred twenty-two trillion, one hundred twenty billion, three hundred thirty-three million, one hundred fourteen thousand, one hundred thirty".