20121601123500 has 768 divisors, whose sum is σ = 64089434013696. Its totient is φ = 4886784000000.

The previous prime is 20121601123451. The next prime is 20121601123523. The reversal of 20121601123500 is 532110612102.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 33149260197 + ... + 33149260803.

It is an arithmetic number, because the mean of its divisors is an integer number (83449783872).

Almost surely, 2^{20121601123500} is an apocalyptic number.

20121601123500 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 20121601123500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32044717006848).

20121601123500 is an abundant number, since it is smaller than the sum of its proper divisors (43967832890196).

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

20121601123500 is a wasteful number, since it uses less digits than its factorization.

20121601123500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 20121601123500 its reverse (532110612102), we get a palindrome (20653711735602).

The spelling of 20121601123500 in words is "twenty trillion, one hundred twenty-one billion, six hundred one million, one hundred twenty-three thousand, five hundred".