122000312120020 has 24 divisors (see below), whose sum is σ = 256202027610984. Its totient is φ = 48799863484416.

The previous prime is 122000312120009. The next prime is 122000312120039. The reversal of 122000312120020 is 20021213000221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6943024741444 + 115057287378576 = 2634962^2 + 10726476^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122000312119976 and 122000312120003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12485469 + ... + 19997188.

It is an arithmetic number, because the mean of its divisors is an integer number (10675084483791).

Almost surely, 2^{122000312120020} is an apocalyptic number.

122000312120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122000312120020 is an abundant number, since it is smaller than the sum of its proper divisors (134201715490964).

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

122000312120020 is a wasteful number, since it uses less digits than its factorization.

122000312120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32670459 (or 32670457 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 122000312120020 its reverse (20021213000221), we get a palindrome (142021525120241).

The spelling of 122000312120020 in words is "one hundred twenty-two trillion, three hundred twelve million, one hundred twenty thousand, twenty".