121121122210000 has 300 divisors, whose sum is σ = 322697338400052. Its totient is φ = 43993664000000.

The previous prime is 121121122209937. The next prime is 121121122210037. The reversal of 121121122210000 is 12221121121.

It can be written as a sum of positive squares in 10 ways, for example, as 109008550592656 + 12112571617344 = 10440716^2 + 3480312^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 1065953190 + ... + 1066066810.

Almost surely, 2^{121121122210000} is an apocalyptic number.

121121122210000 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 121121122210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161348669200026).

121121122210000 is an abundant number, since it is smaller than the sum of its proper divisors (201576216190052).

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

121121122210000 is a wasteful number, since it uses less digits than its factorization.

121121122210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114552 (or 114520 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121121122210000 its reverse (12221121121), we get a palindrome (121133343331121).

The spelling of 121121122210000 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred ten thousand".