12958771200 has 288 divisors, whose sum is σ = 43140988800. Its totient is φ = 3431464960.

The previous prime is 12958771193. The next prime is 12958771207. The reversal of 12958771200 is 217785921.

It is an interprime number because it is at equal distance from previous prime (12958771193) and next prime (12958771207).

It is not an unprimeable number, because it can be changed into a prime (12958771207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36710224 + ... + 36710576.

It is an arithmetic number, because the mean of its divisors is an integer number (149795100).

Almost surely, 2^12958771200 is an apocalyptic number.

12958771200 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 12958771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21570494400).

12958771200 is an abundant number, since it is smaller than the sum of its proper divisors (30182217600).

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

12958771200 is a wasteful number, since it uses less digits than its factorization.

12958771200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 42.

The spelling of 12958771200 in words is "twelve billion, nine hundred fifty-eight million, seven hundred seventy-one thousand, two hundred".