120001022010012 has 192 divisors, whose sum is σ = 337571789345280. Its totient is φ = 32696450841600.

The previous prime is 120001022010007. The next prime is 120001022010019. The reversal of 120001022010012 is 210010220100021.

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

It is a self number, because there is not a number n which added to its sum of digits gives 120001022010012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120001022010019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7895562 + ... + 17387982.

It is an arithmetic number, because the mean of its divisors is an integer number (1758186402840).

Almost surely, 2^{120001022010012} is an apocalyptic number.

120001022010012 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 120001022010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168785894672640).

120001022010012 is an abundant number, since it is smaller than the sum of its proper divisors (217570767335268).

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

120001022010012 is a wasteful number, since it uses less digits than its factorization.

120001022010012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9492644 (or 9492642 counting only the distinct ones).

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

Adding to 120001022010012 its reverse (210010220100021), we get a palindrome (330011242110033).

The spelling of 120001022010012 in words is "one hundred twenty trillion, one billion, twenty-two million, ten thousand, twelve".