1258120900 has 27 divisors (see below), whose sum is σ = 2730892269. Its totient is φ = 503106480.

The previous prime is 1258120867. The next prime is 1258120901. The reversal of 1258120900 is 90218521.

The square root of 1258120900 is 35470.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 452923524 + 805197376 = 21282^2 + 28376^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1258120901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 352927 + ... + 356473.

Almost surely, 2^1258120900 is an apocalyptic number.

1258120900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1258120900 is the 35470-th square number.

It is an amenable number.

1258120900 is an abundant number, since it is smaller than the sum of its proper divisors (1472771369).

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

1258120900 is an frugal number, since it uses more digits than its factorization.

1258120900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7108 (or 3554 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The cubic root of 1258120900 is about 1079.5451044928.

The spelling of 1258120900 in words is "one billion, two hundred fifty-eight million, one hundred twenty thousand, nine hundred".