12260524953600 has 3120 divisors, whose sum is σ = 57575144478720. Its totient is φ = 2515392921600.

The previous prime is 12260524953581. The next prime is 12260524953623. The reversal of 12260524953600 is 635942506221.

12260524953600 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 0 + 524 + 95 + 36 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 155196518361 + ... + 155196518439.

Almost surely, 2^{12260524953600} is an apocalyptic number.

12260524953600 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 12260524953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28787572239360).

12260524953600 is an abundant number, since it is smaller than the sum of its proper divisors (45314619525120).

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

12260524953600 is an frugal number, since it uses more digits than its factorization.

12260524953600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 12260524953600 in words is "twelve trillion, two hundred sixty billion, five hundred twenty-four million, nine hundred fifty-three thousand, six hundred".