121166012000 has 144 divisors (see below), whose sum is σ = 327230650656. Its totient is φ = 44060192000.

The previous prime is 121166011987. The next prime is 121166012053. The reversal of 121166012000 is 210661121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 358829 + ... + 609171.

It is an arithmetic number, because the mean of its divisors is an integer number (2272435074).

Almost surely, 2^121166012000 is an apocalyptic number.

121166012000 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 121166012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163615325328).

121166012000 is an abundant number, since it is smaller than the sum of its proper divisors (206064638656).

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

121166012000 is a wasteful number, since it uses less digits than its factorization.

121166012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250390 (or 250361 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 121166012000 its reverse (210661121), we get a palindrome (121376673121).

The spelling of 121166012000 in words is "one hundred twenty-one billion, one hundred sixty-six million, twelve thousand".