121201212122120 has 32 divisors (see below), whose sum is σ = 293679860143320. Its totient is φ = 44751216783360.

The previous prime is 121201212122093. The next prime is 121201212122173. The reversal of 121201212122120 is 21221212102121.

It can be written as a sum of positive squares in 4 ways, for example, as 107603983618756 + 13597228503364 = 10373234^2 + 3687442^2 .

It is a super-2 number, since 2×121201212122120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 121201212122092 and 121201212122101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116539626521 + ... + 116539627560.

Almost surely, 2^{121201212122120} is an apocalyptic number.

121201212122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121201212122120 is an abundant number, since it is smaller than the sum of its proper divisors (172478648021200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121201212122120 is a wasteful number, since it uses less digits than its factorization.

121201212122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233079254105 (or 233079254101 counting only the distinct ones).

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

Adding to 121201212122120 its reverse (21221212102121), we get a palindrome (142422424224241).

The spelling of 121201212122120 in words is "one hundred twenty-one trillion, two hundred one billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twenty".