122143413311001 has 48 divisors (see below), whose sum is σ = 196664134530240. Its totient is φ = 72596295567360.

The previous prime is 122143413310969. The next prime is 122143413311011. The reversal of 122143413311001 is 100113314341221.

122143413311001 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 4 + 341 + 3 + 311 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 122143413311001 - 2⁵ = 122143413310969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122143413311011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20665521 + ... + 25910433.

It is an arithmetic number, because the mean of its divisors is an integer number (4097169469380).

Almost surely, 2^{122143413311001} is an apocalyptic number.

It is an amenable number.

122143413311001 is a deficient number, since it is larger than the sum of its proper divisors (74520721219239).

122143413311001 is a wasteful number, since it uses less digits than its factorization.

122143413311001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5252966 (or 5252963 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 122143413311001 its reverse (100113314341221), we get a palindrome (222256727652222).

The spelling of 122143413311001 in words is "one hundred twenty-two trillion, one hundred forty-three billion, four hundred thirteen million, three hundred eleven thousand, one".