1258975120 has 80 divisors (see below), whose sum is σ = 3337755120. Its totient is φ = 437501952.

The previous prime is 1258975117. The next prime is 1258975121. The reversal of 1258975120 is 215798521.

It can be written as a sum of positive squares in 8 ways, for example, as 254338704 + 1004636416 = 15948^2 + 31696^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1258975121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17925 + ... + 53284.

It is an arithmetic number, because the mean of its divisors is an integer number (41721939).

Almost surely, 2^1258975120 is an apocalyptic number.

1258975120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1258975120 is an abundant number, since it is smaller than the sum of its proper divisors (2078780000).

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

1258975120 is a wasteful number, since it uses less digits than its factorization.

1258975120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71252 (or 71246 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 40.

The square root of 1258975120 is about 35482.0394002374. The cubic root of 1258975120 is about 1079.7893736488.

The spelling of 1258975120 in words is "one billion, two hundred fifty-eight million, nine hundred seventy-five thousand, one hundred twenty".