1011210320 has 80 divisors (see below), whose sum is σ = 2536511760. Its totient is φ = 373481472.

The previous prime is 1011210293. The next prime is 1011210377. The reversal of 1011210320 is 230121101.

It can be written as a sum of positive squares in 8 ways, for example, as 15429184 + 995781136 = 3928^2 + 31556^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1011210320² = 2045092622549004800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65066 + ... + 79094.

It is an arithmetic number, because the mean of its divisors is an integer number (31706397).

Almost surely, 2^1011210320 is an apocalyptic number.

1011210320 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 1011210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268255880).

1011210320 is an abundant number, since it is smaller than the sum of its proper divisors (1525301440).

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

1011210320 is a wasteful number, since it uses less digits than its factorization.

1011210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14112 (or 14106 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1011210320 is about 31799.5333299091. The cubic root of 1011210320 is about 1003.7228961777.

Adding to 1011210320 its reverse (230121101), we get a palindrome (1241331421).

The spelling of 1011210320 in words is "one billion, eleven million, two hundred ten thousand, three hundred twenty".