1205280000 has 540 divisors, whose sum is σ = 4648611968. Its totient is φ = 311040000.

The previous prime is 1205279983. The next prime is 1205280001. The reversal of 1205280000 is 825021.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205280001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 38879985 + ... + 38880015.

Almost surely, 2^1205280000 is an apocalyptic number.

1205280000 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 1205280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324305984).

1205280000 is an abundant number, since it is smaller than the sum of its proper divisors (3443331968).

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

1205280000 is an frugal number, since it uses more digits than its factorization.

1205280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1205280000 is about 34717.1427395746. The cubic root of 1205280000 is about 1064.2148547588.

The spelling of 1205280000 in words is "one billion, two hundred five million, two hundred eighty thousand".