1012321000 has 32 divisors (see below), whose sum is σ = 2368833480. Its totient is φ = 404928000.

The previous prime is 1012320989. The next prime is 1012321001. The reversal of 1012321000 is 1232101.

It can be written as a sum of positive squares in 4 ways, for example, as 576096004 + 436224996 = 24002^2 + 20886^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1012321001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 505161 + ... + 507160.

Almost surely, 2^1012321000 is an apocalyptic number.

1012321000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012321000 is an abundant number, since it is smaller than the sum of its proper divisors (1356512480).

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

1012321000 is a wasteful number, since it uses less digits than its factorization.

1012321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012342 (or 1012328 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1012321000 is about 31816.9923154279. The cubic root of 1012321000 is about 1004.0902470688.

Adding to 1012321000 its reverse (1232101), we get a palindrome (1013553101).

It can be divided in two parts, 10 and 12321000, that multiplied together give a square (123210000 = 11100²).

The spelling of 1012321000 in words is "one billion, twelve million, three hundred twenty-one thousand".