258121120 has 48 divisors (see below), whose sum is σ = 611339400. Its totient is φ = 102989824.

The previous prime is 258121069. The next prime is 258121147. The reversal of 258121120 is 21121852.

258121120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 198584464 + 59536656 = 14092^2 + 7716^2 .

It is a junction number, because it is equal to n+sod(n) for n = 258121091 and 258121100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70044 + ... + 73636.

Almost surely, 2^258121120 is an apocalyptic number.

258121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258121120 is an abundant number, since it is smaller than the sum of its proper divisors (353218280).

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

258121120 is a wasteful number, since it uses less digits than its factorization.

258121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4057 (or 4049 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 258121120 is about 16066.1482627293. The cubic root of 258121120 is about 636.7092808235.

Adding to 258121120 its reverse (21121852), we get a palindrome (279242972).

The spelling of 258121120 in words is "two hundred fifty-eight million, one hundred twenty-one thousand, one hundred twenty".