1023220512 has 144 divisors (see below), whose sum is σ = 3038398272. Its totient is φ = 338722560.

The previous prime is 1023220511. The next prime is 1023220529. The reversal of 1023220512 is 2150223201.

1023220512 is a `hidden beast` number, since 102 + 32 + 20 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1023220511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1407093 + ... + 1407819.

It is an arithmetic number, because the mean of its divisors is an integer number (21099988).

Almost surely, 2^1023220512 is an apocalyptic number.

1023220512 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 1023220512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519199136).

1023220512 is an abundant number, since it is smaller than the sum of its proper divisors (2015177760).

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

1023220512 is an equidigital number, since it uses as much as digits as its factorization.

1023220512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1023220512 is about 31987.8181813015. The cubic root of 1023220512 is about 1007.6810215199.

Adding to 1023220512 its reverse (2150223201), we get a palindrome (3173443713).

The spelling of 1023220512 in words is "one billion, twenty-three million, two hundred twenty thousand, five hundred twelve".