1023122016 has 480 divisors, whose sum is σ = 3793692672. Its totient is φ = 263761920.

The previous prime is 1023121997. The next prime is 1023122027. The reversal of 1023122016 is 6102213201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1023122016.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 9561835 + ... + 9561941.

Almost surely, 2^1023122016 is an apocalyptic number.

1023122016 is a gapful number since it is divisible by the number (16) 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 1023122016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896846336).

1023122016 is an abundant number, since it is smaller than the sum of its proper divisors (2770570656).

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

1023122016 is a wasteful number, since it uses less digits than its factorization.

1023122016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1023122016 is about 31986.2785581568. The cubic root of 1023122016 is about 1007.6486870968.

Adding to 1023122016 its reverse (6102213201), we get a palindrome (7125335217).

The spelling of 1023122016 in words is "one billion, twenty-three million, one hundred twenty-two thousand, sixteen".