1259205120 has 480 divisors, whose sum is σ = 4718697984. Its totient is φ = 309657600.

The previous prime is 1259205097. The next prime is 1259205131. The reversal of 1259205120 is 215029521.

1259205120 is a `hidden beast` number, since 1 + 2 + 592 + 0 + 51 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29283819 + ... + 29283861.

Almost surely, 2^1259205120 is an apocalyptic number.

1259205120 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 1259205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359348992).

1259205120 is an abundant number, since it is smaller than the sum of its proper divisors (3459492864).

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

1259205120 is a wasteful number, since it uses less digits than its factorization.

1259205120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1259205120 is about 35485.2803286095. The cubic root of 1259205120 is about 1079.8551245996.

The spelling of 1259205120 in words is "one billion, two hundred fifty-nine million, two hundred five thousand, one hundred twenty".