1021312000 has 176 divisors, whose sum is σ = 2605749120. Its totient is φ = 399360000.

The previous prime is 1021311983. The next prime is 1021312027. The reversal of 1021312000 is 2131201.

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

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 15 ways as a sum of consecutive naturals, for example, 10111950 + ... + 10112050.

Almost surely, 2^1021312000 is an apocalyptic number.

1021312000 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 1021312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302874560).

1021312000 is an abundant number, since it is smaller than the sum of its proper divisors (1584437120).

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

1021312000 is an equidigital number, since it uses as much as digits as its factorization.

1021312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 187 counting only the distinct ones).

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

The square root of 1021312000 is about 31957.9724012648. The cubic root of 1021312000 is about 1007.0541223520.

Adding to 1021312000 its reverse (2131201), we get a palindrome (1023443201).

The spelling of 1021312000 in words is "one billion, twenty-one million, three hundred twelve thousand".