121330112200 has 144 divisors (see below), whose sum is σ = 315922318740. Its totient is φ = 43287129600.

The previous prime is 121330112173. The next prime is 121330112207. The reversal of 121330112200 is 2211033121.

It can be written as a sum of positive squares in 6 ways, for example, as 91253534724 + 30076577476 = 302082^2 + 173426^2 .

It is a super-2 number, since 2×121330112200² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121330112207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1235302 + ... + 1329898.

Almost surely, 2^121330112200 is an apocalyptic number.

121330112200 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 121330112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157961159370).

121330112200 is an abundant number, since it is smaller than the sum of its proper divisors (194592206540).

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

121330112200 is a wasteful number, since it uses less digits than its factorization.

121330112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94688 (or 94668 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 121330112200 its reverse (2211033121), we get a palindrome (123541145321).

The spelling of 121330112200 in words is "one hundred twenty-one billion, three hundred thirty million, one hundred twelve thousand, two hundred".