122112101120020 has 24 divisors (see below), whose sum is σ = 279747722566368. Its totient is φ = 44404400407200.

The previous prime is 122112101119991. The next prime is 122112101120033. The reversal of 122112101120020 is 20021101211221.

It is a super-3 number, since 3×122112101120020³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 122112101119976 and 122112101120003.

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 7 ways as a sum of consecutive naturals, for example, 277527502326 + ... + 277527502765.

It is an arithmetic number, because the mean of its divisors is an integer number (11656155106932).

Almost surely, 2^{122112101120020} is an apocalyptic number.

122112101120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112101120020 is an abundant number, since it is smaller than the sum of its proper divisors (157635621446348).

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

122112101120020 is a wasteful number, since it uses less digits than its factorization.

122112101120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555055005111 (or 555055005109 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122112101120020 its reverse (20021101211221), we get a palindrome (142133202331241).

The spelling of 122112101120020 in words is "one hundred twenty-two trillion, one hundred twelve billion, one hundred one million, one hundred twenty thousand, twenty".