112072949129 has 2 divisors, whose sum is σ = 112072949130. Its totient is φ = 112072949128.

The previous prime is 112072949099. The next prime is 112072949147. The reversal of 112072949129 is 921949270211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109990395904 + 2082553225 = 331648^2 + 45635^2 .

It is an emirp because it is prime and its reverse (921949270211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112072949129 - 2³² = 107777981833 is a prime.

It is not a weakly prime, because it can be changed into another prime (112072949179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56036474564 + 56036474565.

It is an arithmetic number, because the mean of its divisors is an integer number (56036474565).

Almost surely, 2^112072949129 is an apocalyptic number.

It is an amenable number.

112072949129 is a deficient number, since it is larger than the sum of its proper divisors (1).

112072949129 is an equidigital number, since it uses as much as digits as its factorization.

112072949129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 163296, while the sum is 47.

The spelling of 112072949129 in words is "one hundred twelve billion, seventy-two million, nine hundred forty-nine thousand, one hundred twenty-nine".