11404125201312 has 144 divisors (see below), whose sum is σ = 34413741442080. Its totient is φ = 3712970886912.

The previous prime is 11404125201299. The next prime is 11404125201331. The reversal of 11404125201312 is 21310252140411.

11404125201312 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 4 + 1 + 2 + 520 + 131 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16718887 + ... + 17387622.

It is an arithmetic number, because the mean of its divisors is an integer number (238984315570).

Almost surely, 2^{11404125201312} is an apocalyptic number.

11404125201312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11404125201312 is an abundant number, since it is smaller than the sum of its proper divisors (23009616240768).

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

11404125201312 is an equidigital number, since it uses as much as digits as its factorization.

11404125201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34106577 (or 34106557 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 11404125201312 its reverse (21310252140411), we get a palindrome (32714377341723).

The spelling of 11404125201312 in words is "eleven trillion, four hundred four billion, one hundred twenty-five million, two hundred one thousand, three hundred twelve".