13121121223000 has 128 divisors (see below), whose sum is σ = 35151306652800. Its totient is φ = 4490762496000.

The previous prime is 13121121222997. The next prime is 13121121223037. The reversal of 13121121223000 is 32212112131.

It is a super-2 number, since 2×13121121223000² (a number of 27 digits) contains 22 as substring.

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, 2335860 + ... + 5630140.

It is an arithmetic number, because the mean of its divisors is an integer number (274619583225).

Almost surely, 2^{13121121223000} is an apocalyptic number.

13121121223000 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 13121121223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17575653326400).

13121121223000 is an abundant number, since it is smaller than the sum of its proper divisors (22030185429800).

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

13121121223000 is a wasteful number, since it uses less digits than its factorization.

13121121223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3294878 (or 3294864 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 13121121223000 its reverse (32212112131), we get a palindrome (13153333335131).

The spelling of 13121121223000 in words is "thirteen trillion, one hundred twenty-one billion, one hundred twenty-one million, two hundred twenty-three thousand".