1011322000 has 160 divisors (see below), whose sum is σ = 2667266784. Its totient is φ = 368640000.

The previous prime is 1011321979. The next prime is 1011322003. The reversal of 1011322000 is 2231101.

It can be written as a sum of positive squares in 16 ways, for example, as 597118096 + 414203904 = 24436^2 + 20352^2 .

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 (1011322003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2521800 + ... + 2522200.

Almost surely, 2^1011322000 is an apocalyptic number.

1011322000 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 1011322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333633392).

1011322000 is an abundant number, since it is smaller than the sum of its proper divisors (1655944784).

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

1011322000 is a wasteful number, since it uses less digits than its factorization.

1011322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 518 counting only the distinct ones).

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

The square root of 1011322000 is about 31801.2892820401. The cubic root of 1011322000 is about 1003.7598458423.

Adding to 1011322000 its reverse (2231101), we get a palindrome (1013553101).

The spelling of 1011322000 in words is "one billion, eleven million, three hundred twenty-two thousand".