122011112010012 has 192 divisors, whose sum is σ = 300023865630720. Its totient is φ = 38550662553600.

The previous prime is 122011112010001. The next prime is 122011112010101. The reversal of 122011112010012 is 210010211110221.

It is a happy number.

It is a super-3 number, since 3×122011112010012³ (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 = 122011112009973 and 122011112010000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1735814164 + ... + 1735884452.

It is an arithmetic number, because the mean of its divisors is an integer number (1562624300160).

Almost surely, 2^{122011112010012} is an apocalyptic number.

122011112010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122011112010012 is an abundant number, since it is smaller than the sum of its proper divisors (178012753620708).

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

122011112010012 is a wasteful number, since it uses less digits than its factorization.

122011112010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70932 (or 70930 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122011112010012 its reverse (210010211110221), we get a palindrome (332021323120233).

The spelling of 122011112010012 in words is "one hundred twenty-two trillion, eleven billion, one hundred twelve million, ten thousand, twelve".