125629642201 has 48 divisors (see below), whose sum is σ = 157482299520. Its totient is φ = 99564111360.

The previous prime is 125629642199. The next prime is 125629642207. The reversal of 125629642201 is 102246926521.

It is not a de Polignac number, because 125629642201 - 2¹ = 125629642199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (125629642207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12509140 + ... + 12519178.

It is an arithmetic number, because the mean of its divisors is an integer number (3280881240).

Almost surely, 2^125629642201 is an apocalyptic number.

It is an amenable number.

125629642201 is a deficient number, since it is larger than the sum of its proper divisors (31852657319).

125629642201 is a wasteful number, since it uses less digits than its factorization.

125629642201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10334 (or 10327 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 125629642201 in words is "one hundred twenty-five billion, six hundred twenty-nine million, six hundred forty-two thousand, two hundred one".