1272657412301 has 32 divisors (see below), whose sum is σ = 1452368130048. Its totient is φ = 1104867368640.

The previous prime is 1272657412267. The next prime is 1272657412357. The reversal of 1272657412301 is 1032147562721.

It is a cyclic number.

It is not a de Polignac number, because 1272657412301 - 2¹⁴ = 1272657395917 is a prime.

It is a super-2 number, since 2×1272657412301² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1272657462301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21823955 + ... + 21882191.

It is an arithmetic number, because the mean of its divisors is an integer number (45386504064).

Almost surely, 2^{1272657412301} is an apocalyptic number.

1272657412301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1272657412301 is a deficient number, since it is larger than the sum of its proper divisors (179710717747).

1272657412301 is a wasteful number, since it uses less digits than its factorization.

1272657412301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59321.

The product of its (nonzero) digits is 141120, while the sum is 41.

The spelling of 1272657412301 in words is "one trillion, two hundred seventy-two billion, six hundred fifty-seven million, four hundred twelve thousand, three hundred one".