1267123110 has 128 divisors (see below), whose sum is σ = 3550487040. Its totient is φ = 286156800.

The previous prime is 1267123093. The next prime is 1267123111. The reversal of 1267123110 is 113217621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1267123111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 380814 + ... + 384126.

It is an arithmetic number, because the mean of its divisors is an integer number (27738180).

Almost surely, 2^1267123110 is an apocalyptic number.

1267123110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1267123110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775243520).

1267123110 is an abundant number, since it is smaller than the sum of its proper divisors (2283363930).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1267123110 is a wasteful number, since it uses less digits than its factorization.

1267123110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 1267123110 is about 35596.6727377714. The cubic root of 1267123110 is about 1082.1138042096.

The spelling of 1267123110 in words is "one billion, two hundred sixty-seven million, one hundred twenty-three thousand, one hundred ten".