121111122101200 has 120 divisors (see below), whose sum is σ = 362767132578240. Its totient is φ = 37748921164800.

The previous prime is 121111122101173. The next prime is 121111122101201. The reversal of 121111122101200 is 2101221111121.

It is a super-2 number, since 2×121111122101200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121111122101201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1966058845 + ... + 1966120444.

It is an arithmetic number, because the mean of its divisors is an integer number (3023059438152).

Almost surely, 2^{121111122101200} is an apocalyptic number.

121111122101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121111122101200 is an abundant number, since it is smaller than the sum of its proper divisors (241656010477040).

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

121111122101200 is a wasteful number, since it uses less digits than its factorization.

121111122101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3932179325 (or 3932179314 counting only the distinct ones).

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

Adding to 121111122101200 its reverse (2101221111121), we get a palindrome (123212343212321).

The spelling of 121111122101200 in words is "one hundred twenty-one trillion, one hundred eleven billion, one hundred twenty-two million, one hundred one thousand, two hundred".