122736345353 has 16 divisors (see below), whose sum is σ = 126905486400. Its totient is φ = 118648221120.

The previous prime is 122736345287. The next prime is 122736345371. The reversal of 122736345353 is 353543637221.

It is a cyclic number.

It is not a de Polignac number, because 122736345353 - 2¹⁸ = 122736083209 is a prime.

It is a super-2 number, since 2×122736345353² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122736345653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 974738 + ... + 1093428.

It is an arithmetic number, because the mean of its divisors is an integer number (7931592900).

Almost surely, 2^122736345353 is an apocalyptic number.

It is an amenable number.

122736345353 is a deficient number, since it is larger than the sum of its proper divisors (4169141047).

122736345353 is a wasteful number, since it uses less digits than its factorization.

122736345353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119032.

The product of its digits is 1360800, while the sum is 44.

The spelling of 122736345353 in words is "one hundred twenty-two billion, seven hundred thirty-six million, three hundred forty-five thousand, three hundred fifty-three".