121122212212001 has 384 divisors, whose sum is σ = 175359315640320. Its totient is φ = 81283378176000.

The previous prime is 121122212211953. The next prime is 121122212212031. The reversal of 121122212212001 is 100212212221121.

It is not a de Polignac number, because 121122212212001 - 2⁶ = 121122212211937 is a prime.

It is a super-2 number, since 2×121122212212001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121122212212031) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 365928133406 + ... + 365928133736.

It is an arithmetic number, because the mean of its divisors is an integer number (456664884480).

Almost surely, 2^{121122212212001} is an apocalyptic number.

121122212212001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121122212212001 is a deficient number, since it is larger than the sum of its proper divisors (54237103428319).

121122212212001 is a wasteful number, since it uses less digits than its factorization.

121122212212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 121122212212001 its reverse (100212212221121), we get a palindrome (221334424433122).

The spelling of 121122212212001 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, two hundred twelve million, two hundred twelve thousand, one".