122112001101012 has 48 divisors (see below), whose sum is σ = 306849122849472. Its totient is φ = 37572484849920.

The previous prime is 122112001101007. The next prime is 122112001101017. The reversal of 122112001101012 is 210101100211221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122112001101007) and next prime (122112001101017).

It is a super-2 number, since 2×122112001101012² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122112001100982 and 122112001101000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112001101017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8967448 + ... + 18017744.

It is an arithmetic number, because the mean of its divisors is an integer number (6392690059364).

Almost surely, 2^{122112001101012} is an apocalyptic number.

122112001101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122112001101012 is an abundant number, since it is smaller than the sum of its proper divisors (184737121748460).

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

122112001101012 is a wasteful number, since it uses less digits than its factorization.

122112001101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9136808 (or 9136806 counting only the distinct ones).

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

Adding to 122112001101012 its reverse (210101100211221), we get a palindrome (332213101312233).

The spelling of 122112001101012 in words is "one hundred twenty-two trillion, one hundred twelve billion, one million, one hundred one thousand, twelve".