1205978120 has 96 divisors (see below), whose sum is σ = 2836603800. Its totient is φ = 461399040.

The previous prime is 1205978117. The next prime is 1205978143. The reversal of 1205978120 is 218795021.

It can be written as a sum of positive squares in 4 ways, for example, as 1175529796 + 30448324 = 34286^2 + 5518^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5266166 + ... + 5266394.

Almost surely, 2^1205978120 is an apocalyptic number.

1205978120 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 1205978120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418301900).

1205978120 is an abundant number, since it is smaller than the sum of its proper divisors (1630625680).

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

1205978120 is a wasteful number, since it uses less digits than its factorization.

1205978120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 35.

The square root of 1205978120 is about 34727.1956829226. The cubic root of 1205978120 is about 1064.4202859387.

The spelling of 1205978120 in words is "one billion, two hundred five million, nine hundred seventy-eight thousand, one hundred twenty".