121121011021200 has 60 divisors (see below), whose sum is σ = 387990971975088. Its totient is φ = 32298936272000.

The previous prime is 121121011021189. The next prime is 121121011021217. The reversal of 121121011021200 is 2120110121121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121121011021200.

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 11 ways as a sum of consecutive naturals, for example, 50467086726 + ... + 50467089125.

Almost surely, 2^{121121011021200} is an apocalyptic number.

121121011021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121121011021200 is an abundant number, since it is smaller than the sum of its proper divisors (266869960953888).

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

121121011021200 is a wasteful number, since it uses less digits than its factorization.

121121011021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100934175872 (or 100934175861 counting only the distinct ones).

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

Adding to 121121011021200 its reverse (2120110121121), we get a palindrome (123241121142321).

The spelling of 121121011021200 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, eleven million, twenty-one thousand, two hundred".