1272568400103 has 128 divisors (see below), whose sum is σ = 2314328260608. Its totient is φ = 600566400000.

The previous prime is 1272568400099. The next prime is 1272568400153. The reversal of 1272568400103 is 3010048652721.

It is not a de Polignac number, because 1272568400103 - 2² = 1272568400099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1272568400153) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 128136048 + ... + 128145978.

It is an arithmetic number, because the mean of its divisors is an integer number (18080689536).

Almost surely, 2^{1272568400103} is an apocalyptic number.

1272568400103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1272568400103 is a deficient number, since it is larger than the sum of its proper divisors (1041759860505).

1272568400103 is a wasteful number, since it uses less digits than its factorization.

1272568400103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10637.

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 1272568400103 in words is "one trillion, two hundred seventy-two billion, five hundred sixty-eight million, four hundred thousand, one hundred three".