122864234805 has 112 divisors (see below), whose sum is σ = 238361212656. Its totient is φ = 60410188800.

The previous prime is 122864234791. The next prime is 122864234809. The reversal of 122864234805 is 508432468221.

122864234805 is a `hidden beast` number, since 122 + 8 + 6 + 42 + 3 + 480 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 30206092401 + 92658142404 = 173799^2 + 304398^2 .

It is not a de Polignac number, because 122864234805 - 2¹⁸ = 122863972661 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122864234809) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 61646889 + ... + 61648881.

It is an arithmetic number, because the mean of its divisors is an integer number (2128225113).

Almost surely, 2^122864234805 is an apocalyptic number.

122864234805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122864234805 is a deficient number, since it is larger than the sum of its proper divisors (115496977851).

122864234805 is a wasteful number, since it uses less digits than its factorization.

122864234805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3330 (or 3315 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 122864234805 in words is "one hundred twenty-two billion, eight hundred sixty-four million, two hundred thirty-four thousand, eight hundred five".