122010000102012 has 96 divisors (see below), whose sum is σ = 321313734766080. Its totient is φ = 35694085262080.

The previous prime is 122010000101989. The next prime is 122010000102037. The reversal of 122010000102012 is 210201000010221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 35180758 + ... + 38492930.

It is an arithmetic number, because the mean of its divisors is an integer number (3347018070480).

Almost surely, 2^{122010000102012} is an apocalyptic number.

122010000102012 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 122010000102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160656867383040).

122010000102012 is an abundant number, since it is smaller than the sum of its proper divisors (199303734664068).

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

122010000102012 is a wasteful number, since it uses less digits than its factorization.

122010000102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3321843 (or 3321841 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122010000102012 its reverse (210201000010221), we get a palindrome (332211000112233).

The spelling of 122010000102012 in words is "one hundred twenty-two trillion, ten billion, one hundred two thousand, twelve".