1012111320 has 512 divisors, whose sum is σ = 3829524480. Its totient is φ = 210862080.

The previous prime is 1012111307. The next prime is 1012111327. The reversal of 1012111320 is 231112101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1012111296 and 1012111305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012111327) 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 127 ways as a sum of consecutive naturals, for example, 19096414 + ... + 19096466.

It is an arithmetic number, because the mean of its divisors is an integer number (7479540).

Almost surely, 2^1012111320 is an apocalyptic number.

1012111320 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 1012111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914762240).

1012111320 is an abundant number, since it is smaller than the sum of its proper divisors (2817413160).

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

1012111320 is a wasteful number, since it uses less digits than its factorization.

1012111320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 151 counting only the distinct ones).

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

The square root of 1012111320 is about 31813.6970501701. The cubic root of 1012111320 is about 1004.0209172216.

Adding to 1012111320 its reverse (231112101), we get a palindrome (1243223421).

The spelling of 1012111320 in words is "one billion, twelve million, one hundred eleven thousand, three hundred twenty".