12121001213000 has 128 divisors (see below), whose sum is σ = 28660113930240. Its totient is φ = 4797690400000.

The previous prime is 12121001212919. The next prime is 12121001213003. The reversal of 12121001213000 is 31210012121.

It is not an unprimeable number, because it can be changed into a prime (12121001213003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184090085 + ... + 184155915.

It is an arithmetic number, because the mean of its divisors is an integer number (223907140080).

Almost surely, 2^{12121001213000} is an apocalyptic number.

12121001213000 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 12121001213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14330056965120).

12121001213000 is an abundant number, since it is smaller than the sum of its proper divisors (16539112717240).

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

12121001213000 is a wasteful number, since it uses less digits than its factorization.

12121001213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67776 (or 67762 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12121001213000 its reverse (31210012121), we get a palindrome (12152211225121).

The spelling of 12121001213000 in words is "twelve trillion, one hundred twenty-one billion, one million, two hundred thirteen thousand".