121211212100000 has 1152 divisors, whose sum is σ = 371148053004288. Its totient is φ = 38396160000000.

The previous prime is 121211212099997. The next prime is 121211212100009. The reversal of 121211212100000 is 1212112121.

It is not an unprimeable number, because it can be changed into a prime (121211212100009) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13333095455 + ... + 13333104545.

It is an arithmetic number, because the mean of its divisors is an integer number (322177129344).

Almost surely, 2^{121211212100000} is an apocalyptic number.

121211212100000 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 121211212100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185574026502144).

121211212100000 is an abundant number, since it is smaller than the sum of its proper divisors (249936840904288).

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

121211212100000 is a wasteful number, since it uses less digits than its factorization.

121211212100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9208 (or 9180 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121211212100000 its reverse (1212112121), we get a palindrome (121212424212121).

121211212100000 divided by its reverse (1212112121) gives a 5-th power (100000 = 10⁵).

It can be divided in two parts, 12121 and 1212100000, that added together give a palindrome (1212112121).

The spelling of 121211212100000 in words is "one hundred twenty-one trillion, two hundred eleven billion, two hundred twelve million, one hundred thousand".