121102221312 has 150 divisors (see below), whose sum is σ = 361804497978. Its totient is φ = 40366964736.

The previous prime is 121102221301. The next prime is 121102221323. The reversal of 121102221312 is 213122201121.

121102221312 is a `hidden beast` number, since 121 + 10 + 2 + 221 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (121102221301) and next prime (121102221323).

It can be written as a sum of positive squares in only one way, i.e., 121037193216 + 65028096 = 347904^2 + 8064^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1281478 + ... + 1372730.

Almost surely, 2^121102221312 is an apocalyptic number.

121102221312 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 121102221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180902248989).

121102221312 is an abundant number, since it is smaller than the sum of its proper divisors (240702276666).

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

121102221312 is an frugal number, since it uses more digits than its factorization.

121102221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91293 (or 91258 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 121102221312 its reverse (213122201121), we get a palindrome (334224422433).

The spelling of 121102221312 in words is "one hundred twenty-one billion, one hundred two million, two hundred twenty-one thousand, three hundred twelve".