121122011121201 has 48 divisors (see below), whose sum is σ = 184805143091712. Its totient is φ = 76322849702400.

The previous prime is 121122011121197. The next prime is 121122011121259. The reversal of 121122011121201 is 102121110221121.

It is a happy number.

121122011121201 is a `hidden beast` number, since 1 + 211 + 220 + 1 + 11 + 21 + 201 = 666.

It is not a de Polignac number, because 121122011121201 - 2² = 121122011121197 is a prime.

It is a super-2 number, since 2×121122011121201² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (121122011121281) 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, 315581251 + ... + 315964823.

It is an arithmetic number, because the mean of its divisors is an integer number (3850107147744).

Almost surely, 2^{121122011121201} is an apocalyptic number.

It is an amenable number.

121122011121201 is a deficient number, since it is larger than the sum of its proper divisors (63683131970511).

121122011121201 is a wasteful number, since it uses less digits than its factorization.

121122011121201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409974 (or 409971 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 121122011121201 its reverse (102121110221121), we get a palindrome (223243121342322).

The spelling of 121122011121201 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, eleven million, one hundred twenty-one thousand, two hundred one".