2012134117752 has 96 divisors (see below), whose sum is σ = 6294644207280. Its totient is φ = 573870689280.

The previous prime is 2012134117751. The next prime is 2012134117757. The reversal of 2012134117752 is 2577114312102.

2012134117752 is a `hidden beast` number, since 2 + 0 + 121 + 3 + 411 + 77 + 52 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012134117751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74709283 + ... + 74736210.

Almost surely, 2^{2012134117752} is an apocalyptic number.

2012134117752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2012134117752 is an abundant number, since it is smaller than the sum of its proper divisors (4282510089528).

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

2012134117752 is a wasteful number, since it uses less digits than its factorization.

2012134117752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149445533 (or 149445526 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

Adding to 2012134117752 its reverse (2577114312102), we get a palindrome (4589248429854).

The spelling of 2012134117752 in words is "two trillion, twelve billion, one hundred thirty-four million, one hundred seventeen thousand, seven hundred fifty-two".