25112133121152 has 128 divisors (see below), whose sum is σ = 83163557836800. Its totient is φ = 6522631971840.

The previous prime is 25112133121091. The next prime is 25112133121169.

25112133121152 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 424620952 + ... + 424680087.

It is an arithmetic number, because the mean of its divisors is an integer number (649715295600).

Almost surely, 2^{25112133121152} is an apocalyptic number.

25112133121152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

25112133121152 is an abundant number, since it is smaller than the sum of its proper divisors (58051424715648).

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

25112133121152 is a wasteful number, since it uses less digits than its factorization.

25112133121152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849301074 (or 849301062 counting only the distinct ones).

The product of its digits is 3600, while the sum is 30.

It can be divided in two parts, 2511213 and 3121152, that added together give a palindrome (5632365).

The spelling of 25112133121152 in words is "twenty-five trillion, one hundred twelve billion, one hundred thirty-three million, one hundred twenty-one thousand, one hundred fifty-two".