1141012000 has 96 divisors (see below), whose sum is σ = 2830267440. Its totient is φ = 452044800.

The previous prime is 1141011979. The next prime is 1141012057. The reversal of 1141012000 is 2101411.

It can be written as a sum of positive squares in 8 ways, for example, as 359026704 + 781985296 = 18948^2 + 27964^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 434692 + ... + 437308.

Almost surely, 2^1141012000 is an apocalyptic number.

1141012000 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 1141012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415133720).

1141012000 is an abundant number, since it is smaller than the sum of its proper divisors (1689255440).

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

1141012000 is a wasteful number, since it uses less digits than its factorization.

1141012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751 (or 2733 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1141012000 is about 33778.8691344160. The cubic root of 1141012000 is about 1044.9529522556.

Adding to 1141012000 its reverse (2101411), we get a palindrome (1143113411).

The spelling of 1141012000 in words is "one billion, one hundred forty-one million, twelve thousand".