33120123012 has 18 divisors (see below), whose sum is σ = 83720311038. Its totient is φ = 11040040992.

The previous prime is 33120122989. The next prime is 33120123019. The reversal of 33120123012 is 21032102133.

33120123012 is a `hidden beast` number, since 331 + 20 + 12 + 301 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33118904196 + 1218816 = 181986^2 + 1104^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (33120123019) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 460001673 + ... + 460001744.

It is an arithmetic number, because the mean of its divisors is an integer number (4651128391).

Almost surely, 2^33120123012 is an apocalyptic number.

It is an amenable number.

33120123012 is an abundant number, since it is smaller than the sum of its proper divisors (50600188026).

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

33120123012 is a wasteful number, since it uses less digits than its factorization.

33120123012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920003427 (or 920003422 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 33120123012 its reverse (21032102133), we get a palindrome (54152225145).

The spelling of 33120123012 in words is "thirty-three billion, one hundred twenty million, one hundred twenty-three thousand, twelve".