20120001012012 has 192 divisors, whose sum is σ = 52928048194560. Its totient is φ = 5896795008000.

The previous prime is 20120001011983. The next prime is 20120001012037. The reversal of 20120001012012 is 21021010002102.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161748313 + ... + 161872655.

It is an arithmetic number, because the mean of its divisors is an integer number (275666917680).

Almost surely, 2^{20120001012012} is an apocalyptic number.

20120001012012 is a gapful number since it is divisible by the number (22) 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 20120001012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26464024097280).

20120001012012 is an abundant number, since it is smaller than the sum of its proper divisors (32808047182548).

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

20120001012012 is a wasteful number, since it uses less digits than its factorization.

20120001012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124744 (or 124742 counting only the distinct ones).

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

Adding to 20120001012012 its reverse (21021010002102), we get a palindrome (41141011014114).

The spelling of 20120001012012 in words is "twenty trillion, one hundred twenty billion, one million, twelve thousand, twelve".