12958050 has 144 divisors (see below), whose sum is σ = 39184992. Its totient is φ = 2822400.

The previous prime is 12958037. The next prime is 12958061. The reversal of 12958050 is 5085921.

12958050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12958050² = 335822119605000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12957999 and 12958017.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 301329 + ... + 301371.

It is an arithmetic number, because the mean of its divisors is an integer number (272118).

Almost surely, 2^12958050 is an apocalyptic number.

12958050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12958050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19592496).

12958050 is an abundant number, since it is smaller than the sum of its proper divisors (26226942).

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

12958050 is a wasteful number, since it uses less digits than its factorization.

12958050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 12958050 is about 3599.7291564783. The cubic root of 12958050 is about 234.8802770275.

The spelling of 12958050 in words is "twelve million, nine hundred fifty-eight thousand, fifty".