12161828851200 has 2520 divisors, whose sum is σ = 53471741654232. Its totient is φ = 2731458723840.

The previous prime is 12161828851163. The next prime is 12161828851253. The reversal of 12161828851200 is 215882816121.

12161828851200 is a `hidden beast` number, since 1 + 2 + 1 + 618 + 2 + 8 + 8 + 5 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 30634329402 + ... + 30634329798.

Almost surely, 2^{12161828851200} is an apocalyptic number.

12161828851200 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 12161828851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26735870827116).

12161828851200 is an abundant number, since it is smaller than the sum of its proper divisors (41309912803032).

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

12161828851200 is an frugal number, since it uses more digits than its factorization.

12161828851200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 45.

The spelling of 12161828851200 in words is "twelve trillion, one hundred sixty-one billion, eight hundred twenty-eight million, eight hundred fifty-one thousand, two hundred".