1023012000 has 288 divisors, whose sum is σ = 3673981584. Its totient is φ = 269568000.

The previous prime is 1023011993. The next prime is 1023012007. The reversal of 1023012000 is 2103201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1023011993) and next prime (1023012007).

It can be written as a sum of positive squares in 8 ways, for example, as 71166096 + 951845904 = 8436^2 + 30852^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1023012007) 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 47 ways as a sum of consecutive naturals, for example, 5651910 + ... + 5652090.

Almost surely, 2^1023012000 is an apocalyptic number.

1023012000 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 1023012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836990792).

1023012000 is an abundant number, since it is smaller than the sum of its proper divisors (2650969584).

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

1023012000 is a wasteful number, since it uses less digits than its factorization.

1023012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1023012000 is about 31984.5587745087. The cubic root of 1023012000 is about 1007.6125684163.

Adding to 1023012000 its reverse (2103201), we get a palindrome (1025115201).

The spelling of 1023012000 in words is "one billion, twenty-three million, twelve thousand".