1272112037829 has 48 divisors (see below), whose sum is σ = 1853698100800. Its totient is φ = 840638539008.

The previous prime is 1272112037821. The next prime is 1272112037839. The reversal of 1272112037829 is 9287302112721.

1272112037829 is a `hidden beast` number, since 1 + 27 + 211 + 20 + 378 + 29 = 666.

It is not a de Polignac number, because 1272112037829 - 2³ = 1272112037821 is a prime.

It is a super-2 number, since 2×1272112037829² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1272112037821) 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, 542015034 + ... + 542017380.

Almost surely, 2^{1272112037829} is an apocalyptic number.

It is an amenable number.

1272112037829 is a deficient number, since it is larger than the sum of its proper divisors (581586062971).

1272112037829 is a wasteful number, since it uses less digits than its factorization.

1272112037829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3634 (or 3631 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 1272112037829 in words is "one trillion, two hundred seventy-two billion, one hundred twelve million, thirty-seven thousand, eight hundred twenty-nine".