1012133120 has 72 divisors (see below), whose sum is σ = 2448691560. Its totient is φ = 400793600.

The previous prime is 1012133107. The next prime is 1012133123. The reversal of 1012133120 is 213312101.

It can be written as a sum of positive squares in 4 ways, for example, as 158558464 + 853574656 = 12592^2 + 29216^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1012133095 and 1012133104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012133123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125366 + ... + 133194.

It is an arithmetic number, because the mean of its divisors is an integer number (34009605).

Almost surely, 2^1012133120 is an apocalyptic number.

1012133120 is a gapful number since it is divisible by the number (10) 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 1012133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224345780).

1012133120 is an abundant number, since it is smaller than the sum of its proper divisors (1436558440).

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

1012133120 is an equidigital number, since it uses as much as digits as its factorization.

1012133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7951 (or 7937 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1012133120 is about 31814.0396680459. The cubic root of 1012133120 is about 1004.0281257498.

Adding to 1012133120 its reverse (213312101), we get a palindrome (1225445221).

The spelling of 1012133120 in words is "one billion, twelve million, one hundred thirty-three thousand, one hundred twenty".