122010111201012 has 192 divisors, whose sum is σ = 300223017937920. Its totient is φ = 38510981397504.

The previous prime is 122010111201001. The next prime is 122010111201019. The reversal of 122010111201012 is 210102111010221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122010111200982 and 122010111201000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122010111201019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6492307488 + ... + 6492326280.

It is an arithmetic number, because the mean of its divisors is an integer number (1563661551760).

Almost surely, 2^{122010111201012} is an apocalyptic number.

122010111201012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122010111201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150111508968960).

122010111201012 is an abundant number, since it is smaller than the sum of its proper divisors (178212906736908).

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

122010111201012 is a wasteful number, since it uses less digits than its factorization.

122010111201012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20110 (or 20108 counting only the distinct ones).

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

Adding to 122010111201012 its reverse (210102111010221), we get a palindrome (332112222211233).

The spelling of 122010111201012 in words is "one hundred twenty-two trillion, ten billion, one hundred eleven million, two hundred one thousand, twelve".