1131012000 has 288 divisors, whose sum is σ = 4070561040. Its totient is φ = 297369600.

The previous prime is 1131011983. The next prime is 1131012007. The reversal of 1131012000 is 2101311.

1131012000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1245456 + 1129766544 = 1116^2 + 33612^2 .

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 (1131012007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3203824 + ... + 3204176.

Almost surely, 2^1131012000 is an apocalyptic number.

1131012000 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 1131012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035280520).

1131012000 is an abundant number, since it is smaller than the sum of its proper divisors (2939549040).

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

1131012000 is a wasteful number, since it uses less digits than its factorization.

1131012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1131012000 is about 33630.5218514373. The cubic root of 1131012000 is about 1041.8912824068.

Adding to 1131012000 its reverse (2101311), we get a palindrome (1133113311).

The spelling of 1131012000 in words is "one billion, one hundred thirty-one million, twelve thousand".