121221222011200 has 84 divisors (see below), whose sum is σ = 298338740628412. Its totient is φ = 48478934937600.

The previous prime is 121221222011093. The next prime is 121221222011203. The reversal of 121221222011200 is 2110222122121.

It can be written as a sum of positive squares in 6 ways, for example, as 22933984635136 + 98287237376064 = 4788944^2 + 9913992^2 .

It is a super-3 number, since 3×121221222011200³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121221222011203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 661780 + ... + 15584620.

Almost surely, 2^{121221222011200} is an apocalyptic number.

121221222011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121221222011200 is an abundant number, since it is smaller than the sum of its proper divisors (177117518617212).

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

121221222011200 is a wasteful number, since it uses less digits than its factorization.

121221222011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14927940 (or 14927925 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 121221222011200 its reverse (2110222122121), we get a palindrome (123331444133321).

The spelling of 121221222011200 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, two hundred twenty-two million, eleven thousand, two hundred".