12121010000 has 200 divisors, whose sum is σ = 32360616288. Its totient is φ = 4360000000.

The previous prime is 12121009993. The next prime is 12121010003. The reversal of 12121010000 is 1012121.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 12121010000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121010003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11109455 + ... + 11110545.

Almost surely, 2^12121010000 is an apocalyptic number.

12121010000 is a gapful number since it is divisible by the number (10) 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 12121010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16180308144).

12121010000 is an abundant number, since it is smaller than the sum of its proper divisors (20239606288).

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

12121010000 is a wasteful number, since it uses less digits than its factorization.

12121010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12121010000 its reverse (1012121), we get a palindrome (12122022121).

The spelling of 12121010000 in words is "twelve billion, one hundred twenty-one million, ten thousand".