122011121012001 has 24 divisors (see below), whose sum is σ = 176934095105760. Its totient is φ = 74753001213696.

The previous prime is 122011121011979. The next prime is 122011121012093. The reversal of 122011121012001 is 100210121110221.

It is a happy number.

It is not a de Polignac number, because 122011121012001 - 2⁶ = 122011121011937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122011121010001) 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, 529957816 + ... + 530187993.

It is an arithmetic number, because the mean of its divisors is an integer number (7372253962740).

Almost surely, 2^{122011121012001} is an apocalyptic number.

It is an amenable number.

122011121012001 is a deficient number, since it is larger than the sum of its proper divisors (54922974093759).

122011121012001 is a wasteful number, since it uses less digits than its factorization.

122011121012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060146065 (or 1060146052 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122011121012001 its reverse (100210121110221), we get a palindrome (222221242122222).

The spelling of 122011121012001 in words is "one hundred twenty-two trillion, eleven billion, one hundred twenty-one million, twelve thousand, one".