126205641 has 16 divisors (see below), whose sum is σ = 187865920. Its totient is φ = 83734560.

The previous prime is 126205621. The next prime is 126205687. The reversal of 126205641 is 146502621.

126205641 is a `hidden beast` number, since 12 + 6 + 2 + 0 + 5 + 641 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-126205641 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126205621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5380 + ... + 16773.

It is an arithmetic number, because the mean of its divisors is an integer number (11741620).

Almost surely, 2^126205641 is an apocalyptic number.

It is an amenable number.

126205641 is a deficient number, since it is larger than the sum of its proper divisors (61660279).

126205641 is a wasteful number, since it uses less digits than its factorization.

126205641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22373 (or 22367 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 126205641 is about 11234.1284041086. The cubic root of 126205641 is about 501.6023806004.

The spelling of 126205641 in words is "one hundred twenty-six million, two hundred five thousand, six hundred forty-one".