12355511200 has 36 divisors (see below), whose sum is σ = 30162893670. Its totient is φ = 4942204160.

The previous prime is 12355511153. The next prime is 12355511213. The reversal of 12355511200 is 211555321.

It can be written as a sum of positive squares in 3 ways, for example, as 11571735184 + 783776016 = 107572^2 + 27996^2 .

It is a super-4 number, since 4×12355511200⁴ (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 5 ways as a sum of consecutive naturals, for example, 7721395 + ... + 7722994.

Almost surely, 2^12355511200 is an apocalyptic number.

12355511200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12355511200 is an abundant number, since it is smaller than the sum of its proper divisors (17807382470).

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

12355511200 is a wasteful number, since it uses less digits than its factorization.

12355511200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15444409 (or 15444396 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The spelling of 12355511200 in words is "twelve billion, three hundred fifty-five million, five hundred eleven thousand, two hundred".