122040403434 has 128 divisors (see below), whose sum is σ = 281125313280. Its totient is φ = 39213787392.

The previous prime is 122040403421. The next prime is 122040403447. The reversal of 122040403434 is 434304040221.

It is a happy number.

122040403434 is a `hidden beast` number, since 1 + 220 + 4 + 0 + 4 + 0 + 3 + 434 = 666.

It is an interprime number because it is at equal distance from previous prime (122040403421) and next prime (122040403447).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 122040403398 and 122040403407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153124324 + ... + 153125120.

It is an arithmetic number, because the mean of its divisors is an integer number (2196291510).

Almost surely, 2^122040403434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122040403434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140562656640).

122040403434 is an abundant number, since it is smaller than the sum of its proper divisors (159084909846).

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

122040403434 is a wasteful number, since it uses less digits than its factorization.

122040403434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 122040403434 its reverse (434304040221), we get a palindrome (556344443655).

The spelling of 122040403434 in words is "one hundred twenty-two billion, forty million, four hundred three thousand, four hundred thirty-four".