121122120120000 has 280 divisors, whose sum is σ = 400761663054192. Its totient is φ = 32274739200000.

The previous prime is 121122120119999. The next prime is 121122120120041. The reversal of 121122120120000 is 21021221121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 158137960 + ... + 158902040.

Almost surely, 2^{121122120120000} is an apocalyptic number.

121122120120000 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 121122120120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200380831527096).

121122120120000 is an abundant number, since it is smaller than the sum of its proper divisors (279639542934192).

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

121122120120000 is an equidigital number, since it uses as much as digits as its factorization.

121122120120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765437 (or 765412 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121122120120000 its reverse (21021221121), we get a palindrome (121143141341121).

The spelling of 121122120120000 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred twenty million, one hundred twenty thousand".