12405513201 has 32 divisors (see below), whose sum is σ = 17198556672. Its totient is φ = 7948160640.

The previous prime is 12405513199. The next prime is 12405513203. The reversal of 12405513201 is 10231550421.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12405513199) and next prime (12405513203).

It is not a de Polignac number, because 12405513201 - 2¹ = 12405513199 is a prime.

It is a super-3 number, since 3×12405513201³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12405513203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4622406 + ... + 4625088.

It is an arithmetic number, because the mean of its divisors is an integer number (537454896).

Almost surely, 2^12405513201 is an apocalyptic number.

It is an amenable number.

12405513201 is a deficient number, since it is larger than the sum of its proper divisors (4793043471).

12405513201 is a wasteful number, since it uses less digits than its factorization.

12405513201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3293.

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 12405513201 in words is "twelve billion, four hundred five million, five hundred thirteen thousand, two hundred one".