121211100000 has 288 divisors, whose sum is σ = 441897029280. Its totient is φ = 32322240000.

The previous prime is 121211099983. The next prime is 121211100029. The reversal of 121211100000 is 1112121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2677554 + ... + 2722446.

It is an arithmetic number, because the mean of its divisors is an integer number (1534364685).

Almost surely, 2^121211100000 is an apocalyptic number.

121211100000 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 121211100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220948514640).

121211100000 is an abundant number, since it is smaller than the sum of its proper divisors (320685929280).

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

121211100000 is an frugal number, since it uses more digits than its factorization.

121211100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44937 (or 44903 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 121211100000 its reverse (1112121), we get a palindrome (121212212121).

The spelling of 121211100000 in words is "one hundred twenty-one billion, two hundred eleven million, one hundred thousand".