12121727436000 has 1536 divisors, whose sum is σ = 54979385610240. Its totient is φ = 2557383321600.

The previous prime is 12121727435971. The next prime is 12121727436011. The reversal of 12121727436000 is 63472712121.

12121727436000 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 1 + 7 + 2 + 7 + 43 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 796060387 + ... + 796075613.

It is an arithmetic number, because the mean of its divisors is an integer number (35793870840).

Almost surely, 2^{12121727436000} is an apocalyptic number.

12121727436000 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 12121727436000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27489692805120).

12121727436000 is an abundant number, since it is smaller than the sum of its proper divisors (42857658174240).

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

12121727436000 is an equidigital number, since it uses as much as digits as its factorization.

12121727436000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15293 (or 15257 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 12121727436000 in words is "twelve trillion, one hundred twenty-one billion, seven hundred twenty-seven million, four hundred thirty-six thousand".