121111216096 has 96 divisors (see below), whose sum is σ = 260685444096. Its totient is φ = 55048896000.

The previous prime is 121111216073. The next prime is 121111216103. The reversal of 121111216096 is 690612111121.

It is a happy number.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 36357151 + ... + 36360481.

It is an arithmetic number, because the mean of its divisors is an integer number (2715473376).

Almost surely, 2^121111216096 is an apocalyptic number.

121111216096 is a gapful number since it is divisible by the number (16) 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 121111216096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130342722048).

121111216096 is an abundant number, since it is smaller than the sum of its proper divisors (139574228000).

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

121111216096 is a wasteful number, since it uses less digits than its factorization.

121111216096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4656 (or 4648 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 31.

The spelling of 121111216096 in words is "one hundred twenty-one billion, one hundred eleven million, two hundred sixteen thousand, ninety-six".