1020133212 has 96 divisors (see below), whose sum is σ = 2887653888. Its totient is φ = 273629184.

The previous prime is 1020133129. The next prime is 1020133217. The reversal of 1020133212 is 2123310201.

It is a junction number, because it is equal to n+sod(n) for n = 1020133191 and 1020133200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020133217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 837628 + ... + 838844.

It is an arithmetic number, because the mean of its divisors is an integer number (30079728).

Almost surely, 2^1020133212 is an apocalyptic number.

1020133212 is a gapful number since it is divisible by the number (12) 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 1020133212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443826944).

1020133212 is an abundant number, since it is smaller than the sum of its proper divisors (1867520676).

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

1020133212 is a wasteful number, since it uses less digits than its factorization.

1020133212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1833 counting only the distinct ones).

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

The square root of 1020133212 is about 31939.5242920116. The cubic root of 1020133212 is about 1006.6665292945. Note that the first 3 decimals are identical.

Adding to 1020133212 its reverse (2123310201), we get a palindrome (3143443413).

The spelling of 1020133212 in words is "one billion, twenty million, one hundred thirty-three thousand, two hundred twelve".