1267474126600 has 96 divisors (see below), whose sum is σ = 3215443573440. Its totient is φ = 460803872000.

The previous prime is 1267474126579. The next prime is 1267474126601. The reversal of 1267474126600 is 66214747621.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1267474126601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10988829 + ... + 11103571.

It is an arithmetic number, because the mean of its divisors is an integer number (33494203890).

Almost surely, 2^{1267474126600} is an apocalyptic number.

1267474126600 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 1267474126600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607721786720).

1267474126600 is an abundant number, since it is smaller than the sum of its proper divisors (1947969446840).

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

1267474126600 is a wasteful number, since it uses less digits than its factorization.

1267474126600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119791 (or 119782 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

The spelling of 1267474126600 in words is "one trillion, two hundred sixty-seven billion, four hundred seventy-four million, one hundred twenty-six thousand, six hundred".