122112042001 has 32 divisors (see below), whose sum is σ = 133750656000. Its totient is φ = 111043602432.

The previous prime is 122112041977. The next prime is 122112042023. The reversal of 122112042001 is 100240211221.

It is not a de Polignac number, because 122112042001 - 2⁵ = 122112041969 is a prime.

It is a super-2 number, since 2×122112042001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122112072001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84858240 + ... + 84859678.

It is an arithmetic number, because the mean of its divisors is an integer number (4179708000).

Almost surely, 2^122112042001 is an apocalyptic number.

It is an amenable number.

122112042001 is a deficient number, since it is larger than the sum of its proper divisors (11638613999).

122112042001 is a wasteful number, since it uses less digits than its factorization.

122112042001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122112042001 its reverse (100240211221), we get a palindrome (222352253222).

The spelling of 122112042001 in words is "one hundred twenty-two billion, one hundred twelve million, forty-two thousand, one".