1267128105 has 16 divisors (see below), whose sum is σ = 2028284160. Its totient is φ = 675508608.

The previous prime is 1267128103. The next prime is 1267128139. The reversal of 1267128105 is 5018217621.

It is not a de Polignac number, because 1267128105 - 2¹ = 1267128103 is a prime.

It is a super-2 number, since 2×1267128105² = 3211227268961782050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1267128101) 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, 20016 + ... + 54174.

It is an arithmetic number, because the mean of its divisors is an integer number (126767760).

Almost surely, 2^1267128105 is an apocalyptic number.

1267128105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1267128105 is a deficient number, since it is larger than the sum of its proper divisors (761156055).

1267128105 is a wasteful number, since it uses less digits than its factorization.

1267128105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36640.

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 1267128105 is about 35596.7428987541. The cubic root of 1267128105 is about 1082.1152261054.

The spelling of 1267128105 in words is "one billion, two hundred sixty-seven million, one hundred twenty-eight thousand, one hundred five".