1267985101 has 16 divisors (see below), whose sum is σ = 1349520768. Its totient is φ = 1188792000.

The previous prime is 1267985099. The next prime is 1267985111. The reversal of 1267985101 is 1015897621.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1267985101 - 2¹ = 1267985099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1267985111) 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, 443326 + ... + 446176.

It is an arithmetic number, because the mean of its divisors is an integer number (84345048).

Almost surely, 2^1267985101 is an apocalyptic number.

It is an amenable number.

1267985101 is a deficient number, since it is larger than the sum of its proper divisors (81535667).

1267985101 is a wasteful number, since it uses less digits than its factorization.

1267985101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3252.

The product of its (nonzero) digits is 30240, while the sum is 40.

The square root of 1267985101 is about 35608.7784261129. The cubic root of 1267985101 is about 1082.3591265778.

The spelling of 1267985101 in words is "one billion, two hundred sixty-seven million, nine hundred eighty-five thousand, one hundred one".