1205283000 has 128 divisors (see below), whose sum is σ = 3981856320. Its totient is φ = 302489600.

The previous prime is 1205282977. The next prime is 1205283011. The reversal of 1205283000 is 3825021.

1205283000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1205283000² = 2905414220178000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39184 + ... + 62816.

Almost surely, 2^1205283000 is an apocalyptic number.

1205283000 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 1205283000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990928160).

1205283000 is an abundant number, since it is smaller than the sum of its proper divisors (2776573320).

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

1205283000 is a wasteful number, since it uses less digits than its factorization.

1205283000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23674 (or 23660 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1205283000 is about 34717.1859458684. The cubic root of 1205283000 is about 1064.2157377188.

The spelling of 1205283000 in words is "one billion, two hundred five million, two hundred eighty-three thousand".