20121030320000 has 160 divisors (see below), whose sum is σ = 50097554963280. Its totient is φ = 8047205888000.

The previous prime is 20121030319931. The next prime is 20121030320051. The reversal of 20121030320000 is 2303012102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×20121030320000³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 693025484 + ... + 693054516.

Almost surely, 2^{20121030320000} is an apocalyptic number.

20121030320000 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 20121030320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25048777481640).

20121030320000 is an abundant number, since it is smaller than the sum of its proper divisors (29976524643280).

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

20121030320000 is an frugal number, since it uses more digits than its factorization.

20121030320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37730 (or 37703 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 20121030320000 its reverse (2303012102), we get a palindrome (20123333332102).

The spelling of 20121030320000 in words is "twenty trillion, one hundred twenty-one billion, thirty million, three hundred twenty thousand".