122124400333 has 8 divisors (see below), whose sum is σ = 131530088088. Its totient is φ = 112720355904.

The previous prime is 122124400309. The next prime is 122124400393. The reversal of 122124400333 is 333004421221.

It can be written as a sum of positive squares in 4 ways, for example, as 2085018244 + 120039382089 = 45662^2 + 346467^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-122124400333 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122124400298 and 122124400307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122124400393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254266 + ... + 555787.

It is an arithmetic number, because the mean of its divisors is an integer number (16441261011).

Almost surely, 2^122124400333 is an apocalyptic number.

122124400333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122124400333 is a deficient number, since it is larger than the sum of its proper divisors (9405687755).

122124400333 is a wasteful number, since it uses less digits than its factorization.

122124400333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821663.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 122124400333 its reverse (333004421221), we get a palindrome (455128821554).

The spelling of 122124400333 in words is "one hundred twenty-two billion, one hundred twenty-four million, four hundred thousand, three hundred thirty-three".