121100223012 has 96 divisors (see below), whose sum is σ = 299697484800. Its totient is φ = 37952572032.

The previous prime is 121100222933. The next prime is 121100223019. The reversal of 121100223012 is 210322001121.

It is a super-2 number, since 2×121100223012² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121100222982 and 121100223000.

It is not an unprimeable number, because it can be changed into a prime (121100223019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27907539 + ... + 27911877.

It is an arithmetic number, because the mean of its divisors is an integer number (3121848800).

Almost surely, 2^121100223012 is an apocalyptic number.

121100223012 is a gapful number since it is divisible by the number (12) 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 121100223012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149848742400).

121100223012 is an abundant number, since it is smaller than the sum of its proper divisors (178597261788).

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

121100223012 is a wasteful number, since it uses less digits than its factorization.

121100223012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5265 (or 5263 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 121100223012 its reverse (210322001121), we get a palindrome (331422224133).

The spelling of 121100223012 in words is "one hundred twenty-one billion, one hundred million, two hundred twenty-three thousand, twelve".