1267013100 has 144 divisors (see below), whose sum is σ = 3881696000. Its totient is φ = 318193920.

The previous prime is 1267013093. The next prime is 1267013101. The reversal of 1267013100 is 13107621.

It is a super-2 number, since 2×1267013100² = 3210644391143220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1267013101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1133742 + ... + 1134858.

Almost surely, 2^1267013100 is an apocalyptic number.

1267013100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1267013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940848000).

1267013100 is an abundant number, since it is smaller than the sum of its proper divisors (2614682900).

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

1267013100 is a wasteful number, since it uses less digits than its factorization.

1267013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 1267013100 is about 35595.1274755408. The cubic root of 1267013100 is about 1082.0824873933.

The spelling of 1267013100 in words is "one billion, two hundred sixty-seven million, thirteen thousand, one hundred".