121121222000 has 80 divisors (see below), whose sum is σ = 293046124800. Its totient is φ = 48419539200.

The previous prime is 121121221993. The next prime is 121121222003. The reversal of 121121222000 is 222121121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121121222003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3500786 + ... + 3535214.

It is an arithmetic number, because the mean of its divisors is an integer number (3663076560).

Almost surely, 2^121121222000 is an apocalyptic number.

121121222000 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 121121222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146523062400).

121121222000 is an abundant number, since it is smaller than the sum of its proper divisors (171924902800).

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

121121222000 is a wasteful number, since it uses less digits than its factorization.

121121222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36211 (or 36195 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 121121222000 its reverse (222121121), we get a palindrome (121343343121).

It can be divided in two parts, 121 and 121222000, that added together give a palindrome (121222121).

The spelling of 121121222000 in words is "one hundred twenty-one billion, one hundred twenty-one million, two hundred twenty-two thousand".