2012133129 has 16 divisors (see below), whose sum is σ = 2820861120. Its totient is φ = 1273930560.

The previous prime is 2012133103. The next prime is 2012133139. The reversal of 2012133129 is 9213312102.

It is not a de Polignac number, because 2012133129 - 2¹¹ = 2012131081 is a prime.

It is a super-3 number, since 3×2012133129³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2012133099 and 2012133108.

It is not an unprimeable number, because it can be changed into a prime (2012133139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184267 + ... + 194880.

It is an arithmetic number, because the mean of its divisors is an integer number (176303820).

Almost surely, 2^2012133129 is an apocalyptic number.

2012133129 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2012133129 is a deficient number, since it is larger than the sum of its proper divisors (808727991).

2012133129 is a wasteful number, since it uses less digits than its factorization.

2012133129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379240.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 2012133129 is about 44856.8069416449. The cubic root of 2012133129 is about 1262.4637125014.

The spelling of 2012133129 in words is "two billion, twelve million, one hundred thirty-three thousand, one hundred twenty-nine".