12121311000 has 128 divisors (see below), whose sum is σ = 38840967360. Its totient is φ = 3144960000.

The previous prime is 12121310969. The next prime is 12121311113. The reversal of 12121311000 is 11312121.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 56400 + ... + 165600.

Almost surely, 2^12121311000 is an apocalyptic number.

12121311000 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 12121311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19420483680).

12121311000 is an abundant number, since it is smaller than the sum of its proper divisors (26719656360).

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

12121311000 is a wasteful number, since it uses less digits than its factorization.

12121311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109262 (or 109248 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 12121311000 its reverse (11312121), we get a palindrome (12132623121).

The spelling of 12121311000 in words is "twelve billion, one hundred twenty-one million, three hundred eleven thousand".