121120011112200 has 192 divisors, whose sum is σ = 375906938957760. Its totient is φ = 32261280030720.

The previous prime is 121120011112171. The next prime is 121120011112207. The reversal of 121120011112200 is 2211110021121.

It is a happy number.

It is a super-3 number, since 3×121120011112200³ (a number of 43 digits) contains 333 as substring.

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 121120011112200.

It is not an unprimeable number, because it can be changed into a prime (121120011112207) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1901470752 + ... + 1901534448.

It is an arithmetic number, because the mean of its divisors is an integer number (1957848640405).

Almost surely, 2^{121120011112200} is an apocalyptic number.

121120011112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121120011112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187953469478880).

121120011112200 is an abundant number, since it is smaller than the sum of its proper divisors (254786927845560).

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

121120011112200 is a wasteful number, since it uses less digits than its factorization.

121120011112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67336 (or 67327 counting only the distinct ones).

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

Adding to 121120011112200 its reverse (2211110021121), we get a palindrome (123331121133321).

The spelling of 121120011112200 in words is "one hundred twenty-one trillion, one hundred twenty billion, eleven million, one hundred twelve thousand, two hundred".