1141020600 has 96 divisors (see below), whose sum is σ = 3547950000. Its totient is φ = 303344640.

The previous prime is 1141020599. The next prime is 1141020607. The reversal of 1141020600 is 60201411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1141020600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141020607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206676 + ... + 212124.

Almost surely, 2^1141020600 is an apocalyptic number.

1141020600 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 1141020600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773975000).

1141020600 is an abundant number, since it is smaller than the sum of its proper divisors (2406929400).

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

1141020600 is a wasteful number, since it uses less digits than its factorization.

1141020600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5817 (or 5808 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1141020600 is about 33778.9964326947. The cubic root of 1141020600 is about 1044.9555775779.

The spelling of 1141020600 in words is "one billion, one hundred forty-one million, twenty thousand, six hundred".