12609261277920 has 240 divisors, whose sum is σ = 44563697706528. Its totient is φ = 3357670579200.

The previous prime is 12609261277919. The next prime is 12609261277937. The reversal of 12609261277920 is 2977216290621.

12609261277920 is a `hidden beast` number, since 1 + 2 + 609 + 2 + 6 + 1 + 2 + 7 + 7 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×12609261277920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8390997 + ... + 9778923.

Almost surely, 2^{12609261277920} is an apocalyptic number.

12609261277920 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 12609261277920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22281848853264).

12609261277920 is an abundant number, since it is smaller than the sum of its proper divisors (31954436428608).

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

12609261277920 is a wasteful number, since it uses less digits than its factorization.

12609261277920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388655 (or 1388638 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 12609261277920 in words is "twelve trillion, six hundred nine billion, two hundred sixty-one million, two hundred seventy-seven thousand, nine hundred twenty".