1272134600 has 192 divisors, whose sum is σ = 3479777280. Its totient is φ = 427680000.

The previous prime is 1272134537. The next prime is 1272134651. The reversal of 1272134600 is 64312721.

It is a self number, because there is not a number n which added to its sum of digits gives 1272134600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1568195 + ... + 1569005.

It is an arithmetic number, because the mean of its divisors is an integer number (18123840).

Almost surely, 2^1272134600 is an apocalyptic number.

1272134600 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 1272134600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739888640).

1272134600 is an abundant number, since it is smaller than the sum of its proper divisors (2207642680).

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

1272134600 is a wasteful number, since it uses less digits than its factorization.

1272134600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 1272134600 is about 35666.9959486358. The cubic root of 1272134600 is about 1083.5385194517.

The spelling of 1272134600 in words is "one billion, two hundred seventy-two million, one hundred thirty-four thousand, six hundred".