1033122111012 has 72 divisors (see below), whose sum is σ = 2756608545600. Its totient is φ = 325340238528.

The previous prime is 1033122110987. The next prime is 1033122111013. The reversal of 1033122111012 is 2101112213301.

1033122111012 is a `hidden beast` number, since 1 + 0 + 331 + 221 + 110 + 1 + 2 = 666.

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 (1033122111013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1858083 + ... + 2349194.

It is an arithmetic number, because the mean of its divisors is an integer number (38286229800).

Almost surely, 2^{1033122111012} is an apocalyptic number.

1033122111012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1033122111012 is an abundant number, since it is smaller than the sum of its proper divisors (1723486434588).

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

1033122111012 is a wasteful number, since it uses less digits than its factorization.

1033122111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4207665 (or 4207660 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1033122111012 its reverse (2101112213301), we get a palindrome (3134234324313).

The spelling of 1033122111012 in words is "one trillion, thirty-three billion, one hundred twenty-two million, one hundred eleven thousand, twelve".