12121488 has 100 divisors (see below), whose sum is σ = 36009600. Its totient is φ = 3934656.

The previous prime is 12121481. The next prime is 12121511. The reversal of 12121488 is 88412121.

12121488 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×12121488³ (a number of 22 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12121481) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 60813 + ... + 61011.

It is an arithmetic number, because the mean of its divisors is an integer number (360096).

Almost surely, 2^12121488 is an apocalyptic number.

12121488 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 12121488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18004800).

12121488 is an abundant number, since it is smaller than the sum of its proper divisors (23888112).

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

12121488 is a wasteful number, since it uses less digits than its factorization.

12121488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 251 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 12121488 is about 3481.5927389630. The cubic root of 12121488 is about 229.7128615894.

It can be divided in two parts, 121 and 21488, that added together give a square (21609 = 147²).

The spelling of 12121488 in words is "twelve million, one hundred twenty-one thousand, four hundred eighty-eight".