1045033231122 has 128 divisors (see below), whose sum is σ = 2370600537600. Its totient is φ = 341172559872.

The previous prime is 1045033231117. The next prime is 1045033231127. The reversal of 1045033231122 is 2211323305401.

1045033231122 is a `hidden beast` number, since 1 + 0 + 4 + 503 + 3 + 2 + 31 + 122 = 666.

It is an interprime number because it is at equal distance from previous prime (1045033231117) and next prime (1045033231127).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1045033231127) 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 63 ways as a sum of consecutive naturals, for example, 626142504 + ... + 626144172.

It is an arithmetic number, because the mean of its divisors is an integer number (18520316700).

Almost surely, 2^{1045033231122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045033231122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185300268800).

1045033231122 is an abundant number, since it is smaller than the sum of its proper divisors (1325567306478).

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

1045033231122 is a wasteful number, since it uses less digits than its factorization.

1045033231122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 1045033231122 its reverse (2211323305401), we get a palindrome (3256356536523).

The spelling of 1045033231122 in words is "one trillion, forty-five billion, thirty-three million, two hundred thirty-one thousand, one hundred twenty-two".