1023412000 has 96 divisors (see below), whose sum is σ = 2708085744. Its totient is φ = 377856000.

The previous prime is 1023411973. The next prime is 1023412007. The reversal of 1023412000 is 2143201.

It can be written as a sum of positive squares in 8 ways, for example, as 97061904 + 926350096 = 9852^2 + 30436^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023412007) 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, 42160 + ... + 61840.

Almost surely, 2^1023412000 is an apocalyptic number.

1023412000 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 1023412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354042872).

1023412000 is an abundant number, since it is smaller than the sum of its proper divisors (1684673744).

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

1023412000 is a wasteful number, since it uses less digits than its factorization.

1023412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19719 (or 19701 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1023412000 is about 31990.8111807125. The cubic root of 1023412000 is about 1007.7438775662.

Adding to 1023412000 its reverse (2143201), we get a palindrome (1025555201).

The spelling of 1023412000 in words is "one billion, twenty-three million, four hundred twelve thousand".