1024121072 has 60 divisors (see below), whose sum is σ = 2275099920. Its totient is φ = 444847104.

The previous prime is 1024121041. The next prime is 1024121101. The reversal of 1024121072 is 2701214201.

1024121072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1024121072² = 2097647940228858368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34829 + ... + 57107.

It is an arithmetic number, because the mean of its divisors is an integer number (37918332).

Almost surely, 2^1024121072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024121072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137549960).

1024121072 is an abundant number, since it is smaller than the sum of its proper divisors (1250978848).

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

1024121072 is a wasteful number, since it uses less digits than its factorization.

1024121072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22330 (or 22311 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 1024121072 is about 32001.8916940858. The cubic root of 1024121072 is about 1007.9765626112.

Adding to 1024121072 its reverse (2701214201), we get a palindrome (3725335273).

It can be divided in two parts, 10241 and 21072, that added together give a palindrome (31313).

The spelling of 1024121072 in words is "one billion, twenty-four million, one hundred twenty-one thousand, seventy-two".