20120100000000 has 2592 divisors, whose sum is σ = 91213453298688. Its totient is φ = 3801600000000.

The previous prime is 20120099999941. The next prime is 20120100000079. The reversal of 20120100000000 is 102102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 300299999967 + ... + 300300000033.

Almost surely, 2^{20120100000000} is an apocalyptic number.

20120100000000 is a gapful number since it is divisible by the number (20) 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 20120100000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45606726649344).

20120100000000 is an abundant number, since it is smaller than the sum of its proper divisors (71093353298688).

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

20120100000000 is an frugal number, since it uses more digits than its factorization.

20120100000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 20120100000000 its reverse (102102), we get a palindrome (20120100102102).

It can be divided in two parts, 201 and 20100000000, that multiplied together give a square (4040100000000 = 2010000²).

The spelling of 20120100000000 in words is "twenty trillion, one hundred twenty billion, one hundred million", and thus it is an aban number.