12121351872 has 504 divisors, whose sum is σ = 40775144256. Its totient is φ = 3166055424.

The previous prime is 12121351843. The next prime is 12121351901. The reversal of 12121351872 is 27815312121.

It is an interprime number because it is at equal distance from previous prime (12121351843) and next prime (12121351901).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 146040343 + ... + 146040425.

It is an arithmetic number, because the mean of its divisors is an integer number (80903064).

Almost surely, 2^12121351872 is an apocalyptic number.

12121351872 is a gapful number since it is divisible by the number (12) 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 12121351872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20387572128).

12121351872 is an abundant number, since it is smaller than the sum of its proper divisors (28653792384).

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

12121351872 is a wasteful number, since it uses less digits than its factorization.

12121351872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 157 counting only the distinct ones).

The product of its digits is 6720, while the sum is 33.

Adding to 12121351872 its reverse (27815312121), we get a palindrome (39936663993).

The spelling of 12121351872 in words is "twelve billion, one hundred twenty-one million, three hundred fifty-one thousand, eight hundred seventy-two".