122735434371 has 16 divisors (see below), whose sum is σ = 179827371648. Its totient is φ = 73842152000.

The previous prime is 122735434369. The next prime is 122735434373. The reversal of 122735434371 is 173434537221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122735434369) and next prime (122735434373).

It is a cyclic number.

It is not a de Polignac number, because 122735434371 - 2¹ = 122735434369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122735434373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13569405 + ... + 13578446.

It is an arithmetic number, because the mean of its divisors is an integer number (11239210728).

Almost surely, 2^122735434371 is an apocalyptic number.

122735434371 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122735434371 is a deficient number, since it is larger than the sum of its proper divisors (57091937277).

122735434371 is a wasteful number, since it uses less digits than its factorization.

122735434371 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27148002.

The product of its digits is 423360, while the sum is 42.

The spelling of 122735434371 in words is "one hundred twenty-two billion, seven hundred thirty-five million, four hundred thirty-four thousand, three hundred seventy-one".