122126433444 has 18 divisors (see below), whose sum is σ = 308708484630. Its totient is φ = 40708811136.

The previous prime is 122126433431. The next prime is 122126433461. The reversal of 122126433444 is 444334621221.

122126433444 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 2 + 643 + 3 + 4 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 86958932544 + 35167500900 = 294888^2 + 187530^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×122126433444² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3392400929 = 122126433444 / (1 + 2 + 2 + 1 + 2 + 6 + 4 + 3 + 3 + 4 + 4 + 4).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 122126433399 and 122126433408.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1696200429 + ... + 1696200500.

Almost surely, 2^122126433444 is an apocalyptic number.

It is an amenable number.

122126433444 is an abundant number, since it is smaller than the sum of its proper divisors (186582051186).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122126433444 is a wasteful number, since it uses less digits than its factorization.

122126433444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3392400939 (or 3392400934 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The spelling of 122126433444 in words is "one hundred twenty-two billion, one hundred twenty-six million, four hundred thirty-three thousand, four hundred forty-four".