122200145433405 has 48 divisors (see below), whose sum is σ = 232410842694576. Its totient is φ = 59024975892480.

The previous prime is 122200145433347. The next prime is 122200145433437. The reversal of 122200145433405 is 504334541002221.

It is a happy number.

122200145433405 is a `hidden beast` number, since 1 + 2 + 2 + 200 + 1 + 4 + 5 + 43 + 3 + 405 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1134774606564 + 121065370826841 = 1065258^2 + 11002971^2 .

It is not a de Polignac number, because 122200145433405 - 2¹⁰ = 122200145432381 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122200145433405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1970621236 + ... + 1970683245.

It is an arithmetic number, because the mean of its divisors is an integer number (4841892556137).

Almost surely, 2^{122200145433405} is an apocalyptic number.

122200145433405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122200145433405 is a deficient number, since it is larger than the sum of its proper divisors (110210697261171).

122200145433405 is a wasteful number, since it uses less digits than its factorization.

122200145433405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3941304558 (or 3941304555 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 122200145433405 its reverse (504334541002221), we get a palindrome (626534686435626).

The spelling of 122200145433405 in words is "one hundred twenty-two trillion, two hundred billion, one hundred forty-five million, four hundred thirty-three thousand, four hundred five".