12662133120 has 1536 divisors, whose sum is σ = 60147360000. Its totient is φ = 2427715584.

The previous prime is 12662133119. The next prime is 12662133157. The reversal of 12662133120 is 2133126621.

12662133120 = 252³ + 253³ + ... + 483³.

12662133120 is a `hidden beast` number, since 1 + 2 + 6 + 621 + 3 + 31 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 436625266 + ... + 436625294.

Almost surely, 2^12662133120 is an apocalyptic number.

12662133120 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 12662133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30073680000).

12662133120 is an abundant number, since it is smaller than the sum of its proper divisors (47485226880).

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

12662133120 is a wasteful number, since it uses less digits than its factorization.

12662133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 12662133120 its reverse (2133126621), we get a palindrome (14795259741).

The spelling of 12662133120 in words is "twelve billion, six hundred sixty-two million, one hundred thirty-three thousand, one hundred twenty".