122144757761 has 16 divisors (see below), whose sum is σ = 133095059328. Its totient is φ = 111423686400.

The previous prime is 122144757731. The next prime is 122144757769. The reversal of 122144757761 is 167757441221.

It is not a de Polignac number, because 122144757761 - 2¹⁴ = 122144741377 is a prime.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122144757769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261620 + ... + 559226.

It is an arithmetic number, because the mean of its divisors is an integer number (8318441208).

Almost surely, 2^122144757761 is an apocalyptic number.

It is an amenable number.

122144757761 is a deficient number, since it is larger than the sum of its proper divisors (10950301567).

122144757761 is a wasteful number, since it uses less digits than its factorization.

122144757761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297992.

The product of its digits is 658560, while the sum is 47.

The spelling of 122144757761 in words is "one hundred twenty-two billion, one hundred forty-four million, seven hundred fifty-seven thousand, seven hundred sixty-one".