20121332102000 has 160 divisors (see below), whose sum is σ = 50418396587520. Its totient is φ = 7757516390400.

The previous prime is 20121332101991. The next prime is 20121332102033. The reversal of 20121332102000 is 20123312102.

It is a self number, because there is not a number n which added to its sum of digits gives 20121332102000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33165377 + ... + 33766623.

It is an arithmetic number, because the mean of its divisors is an integer number (315114978672).

Almost surely, 2^{20121332102000} is an apocalyptic number.

20121332102000 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 20121332102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25209198293760).

20121332102000 is an abundant number, since it is smaller than the sum of its proper divisors (30297064485520).

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

20121332102000 is a wasteful number, since it uses less digits than its factorization.

20121332102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601876 (or 601860 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 20121332102000 its reverse (20123312102), we get a palindrome (20141455414102).

The spelling of 20121332102000 in words is "twenty trillion, one hundred twenty-one billion, three hundred thirty-two million, one hundred two thousand".