12235521121056 has 192 divisors, whose sum is σ = 36566496489600. Its totient is φ = 3978035712000.

The previous prime is 12235521121003. The next prime is 12235521121067. The reversal of 12235521121056 is 65012112553221.

12235521121056 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 5 + 521 + 121 + 0 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12235521121056.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148775115 + ... + 148857333.

It is an arithmetic number, because the mean of its divisors is an integer number (190450502550).

Almost surely, 2^{12235521121056} is an apocalyptic number.

12235521121056 is a gapful number since it is divisible by the number (16) 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 12235521121056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18283248244800).

12235521121056 is an abundant number, since it is smaller than the sum of its proper divisors (24330975368544).

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

12235521121056 is a wasteful number, since it uses less digits than its factorization.

12235521121056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86480 (or 86466 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 12235521121056 its reverse (65012112553221), we get a palindrome (77247633674277).

The spelling of 12235521121056 in words is "twelve trillion, two hundred thirty-five billion, five hundred twenty-one million, one hundred twenty-one thousand, fifty-six".