12102121548 has 240 divisors, whose sum is σ = 35653685760. Its totient is φ = 3548188800.

The previous prime is 12102121543. The next prime is 12102121553. The reversal of 12102121548 is 84512120121.

12102121548 is a `hidden beast` number, since 1 + 2 + 102 + 12 + 1 + 548 = 666.

12102121548 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12102121543) and next prime (12102121553).

It is a super-2 number, since 2×12102121548² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12102121543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14922063 + ... + 14922873.

It is an arithmetic number, because the mean of its divisors is an integer number (148557024).

Almost surely, 2^12102121548 is an apocalyptic number.

12102121548 is a gapful number since it is divisible by the number (18) 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 12102121548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17826842880).

12102121548 is an abundant number, since it is smaller than the sum of its proper divisors (23551564212).

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

12102121548 is a wasteful number, since it uses less digits than its factorization.

12102121548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

Adding to 12102121548 its reverse (84512120121), we get a palindrome (96614241669).

The spelling of 12102121548 in words is "twelve billion, one hundred two million, one hundred twenty-one thousand, five hundred forty-eight".