121056188000 has 192 divisors, whose sum is σ = 326484587520. Its totient is φ = 43747776000.

The previous prime is 121056187997. The next prime is 121056188009. The reversal of 121056188000 is 881650121.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121056188009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7163561 + ... + 7180439.

It is an arithmetic number, because the mean of its divisors is an integer number (1700440560).

Almost surely, 2^121056188000 is an apocalyptic number.

121056188000 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 121056188000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163242293760).

121056188000 is an abundant number, since it is smaller than the sum of its proper divisors (205428399520).

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

121056188000 is a wasteful number, since it uses less digits than its factorization.

121056188000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17078 (or 17060 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 32.

The spelling of 121056188000 in words is "one hundred twenty-one billion, fifty-six million, one hundred eighty-eight thousand".