1012221120 has 112 divisors (see below), whose sum is σ = 3292315488. Its totient is φ = 263331840.

The previous prime is 1012221113. The next prime is 1012221121. The reversal of 1012221120 is 211222101.

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 = 1012221096 and 1012221105.

It is not an unprimeable number, because it can be changed into a prime (1012221121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26502 + ... + 52218.

It is an arithmetic number, because the mean of its divisors is an integer number (29395674).

Almost surely, 2^1012221120 is an apocalyptic number.

1012221120 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 1012221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646157744).

1012221120 is an abundant number, since it is smaller than the sum of its proper divisors (2280094368).

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

1012221120 is a wasteful number, since it uses less digits than its factorization.

1012221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25778 (or 25768 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1012221120 is about 31815.4226751744. The cubic root of 1012221120 is about 1004.0572233433.

Adding to 1012221120 its reverse (211222101), we get a palindrome (1223443221).

The spelling of 1012221120 in words is "one billion, twelve million, two hundred twenty-one thousand, one hundred twenty".