121111178293992 has 512 divisors, whose sum is σ = 324936023408640. Its totient is φ = 37561252608000.

The previous prime is 121111178293883. The next prime is 121111178293993. The reversal of 121111178293992 is 299392871111121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (121111178293993) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 188353309623 + ... + 188353310265.

It is an arithmetic number, because the mean of its divisors is an integer number (634640670720).

Almost surely, 2^{121111178293992} is an apocalyptic number.

121111178293992 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 121111178293992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162468011704320).

121111178293992 is an abundant number, since it is smaller than the sum of its proper divisors (203824845114648).

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

121111178293992 is a wasteful number, since it uses less digits than its factorization.

121111178293992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1281 counting only the distinct ones).

The product of its digits is 979776, while the sum is 57.

The spelling of 121111178293992 in words is "one hundred twenty-one trillion, one hundred eleven billion, one hundred seventy-eight million, two hundred ninety-three thousand, nine hundred ninety-two".