12257836557120 has 4032 divisors, whose sum is σ = 59165709797376. Its totient is φ = 2345370992640.

The previous prime is 12257836557107. The next prime is 12257836557143. The reversal of 12257836557120 is 2175563875221.

12257836557120 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 7 + 8 + 3 + 65 + 571 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×12257836557120² (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 575 ways as a sum of consecutive naturals, for example, 114559220107 + ... + 114559220213.

It is an arithmetic number, because the mean of its divisors is an integer number (14674035168).

Almost surely, 2^{12257836557120} is an apocalyptic number.

12257836557120 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 12257836557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29582854898688).

12257836557120 is an abundant number, since it is smaller than the sum of its proper divisors (46907873240256).

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

12257836557120 is a wasteful number, since it uses less digits than its factorization.

12257836557120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 12257836557120 in words is "twelve trillion, two hundred fifty-seven billion, eight hundred thirty-six million, five hundred fifty-seven thousand, one hundred twenty".