122142432140020 has 12 divisors (see below), whose sum is σ = 256499107494084. Its totient is φ = 48856972856000.

The previous prime is 122142432139991. The next prime is 122142432140039. The reversal of 122142432140020 is 20041234241221.

122142432140020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 22603140284176 + 99539291855844 = 4754276^2 + 9976938^2 .

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 3053560803481 + ... + 3053560803520.

It is an arithmetic number, because the mean of its divisors is an integer number (21374925624507).

Almost surely, 2^{122142432140020} is an apocalyptic number.

122142432140020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122142432140020 is an abundant number, since it is smaller than the sum of its proper divisors (134356675354064).

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

122142432140020 is a wasteful number, since it uses less digits than its factorization.

122142432140020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6107121607010 (or 6107121607008 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 122142432140020 its reverse (20041234241221), we get a palindrome (142183666381241).

The spelling of 122142432140020 in words is "one hundred twenty-two trillion, one hundred forty-two billion, four hundred thirty-two million, one hundred forty thousand, twenty".