121111133312 has 128 divisors (see below), whose sum is σ = 274460229120. Its totient is φ = 52835328000.

The previous prime is 121111133293. The next prime is 121111133347. The reversal of 121111133312 is 213331111121.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×121111133312² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2190812 + ... + 2245412.

It is an arithmetic number, because the mean of its divisors is an integer number (2144220540).

Almost surely, 2^121111133312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121111133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137230114560).

121111133312 is an abundant number, since it is smaller than the sum of its proper divisors (153349095808).

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

121111133312 is a wasteful number, since it uses less digits than its factorization.

121111133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54702 (or 54690 counting only the distinct ones).

The product of its digits is 108, while the sum is 20.

Adding to 121111133312 its reverse (213331111121), we get a palindrome (334442244433).

The spelling of 121111133312 in words is "one hundred twenty-one billion, one hundred eleven million, one hundred thirty-three thousand, three hundred twelve".