12550350400 has 126 divisors (see below), whose sum is σ = 35923841538. Its totient is φ = 4302950400.

The previous prime is 12550350367. The next prime is 12550350413. The reversal of 12550350400 is 405305521.

It can be written as a sum of positive squares in 3 ways, for example, as 4248953856 + 8301396544 = 65184^2 + 91112^2 .

It is a super-2 number, since 2×12550350400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1641 + ... + 158440.

Almost surely, 2^12550350400 is an apocalyptic number.

12550350400 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 12550350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17961920769).

12550350400 is an abundant number, since it is smaller than the sum of its proper divisors (23373491138).

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

12550350400 is a wasteful number, since it uses less digits than its factorization.

12550350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160117 (or 160095 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

Adding to 12550350400 its reverse (405305521), we get a palindrome (12955655921).

The spelling of 12550350400 in words is "twelve billion, five hundred fifty million, three hundred fifty thousand, four hundred".