2012133120 has 144 divisors (see below), whose sum is σ = 6633940992. Its totient is φ = 519229440.

The previous prime is 2012133103. The next prime is 2012133139. The reversal of 2012133120 is 213312102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2012133120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110589 + ... + 127491.

Almost surely, 2^2012133120 is an apocalyptic number.

2012133120 is a gapful number since it is divisible by the number (20) 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 2012133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3316970496).

2012133120 is an abundant number, since it is smaller than the sum of its proper divisors (4621807872).

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

2012133120 is a wasteful number, since it uses less digits than its factorization.

2012133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16958 (or 16944 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2012133120 is about 44856.8068413257. The cubic root of 2012133120 is about 1262.4637106192.

Adding to 2012133120 its reverse (213312102), we get a palindrome (2225445222).

The spelling of 2012133120 in words is "two billion, twelve million, one hundred thirty-three thousand, one hundred twenty".