122284673248001 has 24 divisors (see below), whose sum is σ = 134582668080000. Its totient is φ = 111026885508000.

The previous prime is 122284673247943. The next prime is 122284673248027. The reversal of 122284673248001 is 100842376482221.

It is not a de Polignac number, because 122284673248001 - 2¹⁰ = 122284673246977 is a prime.

It is a super-2 number, since 2×122284673248001² (a number of 29 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 (122284673248061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302519576 + ... + 302923526.

It is an arithmetic number, because the mean of its divisors is an integer number (5607611170000).

Almost surely, 2^{122284673248001} is an apocalyptic number.

122284673248001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122284673248001 is a deficient number, since it is larger than the sum of its proper divisors (12297994831999).

122284673248001 is a wasteful number, since it uses less digits than its factorization.

122284673248001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407141 (or 407130 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 50.

The spelling of 122284673248001 in words is "one hundred twenty-two trillion, two hundred eighty-four billion, six hundred seventy-three million, two hundred forty-eight thousand, one".