121212101010000 has 4800 divisors, whose sum is σ = 561768584509440. Its totient is φ = 21720545280000.

The previous prime is 121212101009983. The next prime is 121212101010017. The reversal of 121212101010000 is 10101212121.

121212101010000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (121212101009983) and next prime (121212101010017).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 2054442389971 + ... + 2054442390029.

Almost surely, 2^{121212101010000} is an apocalyptic number.

121212101010000 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 121212101010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280884292254720).

121212101010000 is an abundant number, since it is smaller than the sum of its proper divisors (440556483499440).

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

121212101010000 is a wasteful number, since it uses less digits than its factorization.

121212101010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121212101010000 its reverse (10101212121), we get a palindrome (121222202222121).

The spelling of 121212101010000 in words is "one hundred twenty-one trillion, two hundred twelve billion, one hundred one million, ten thousand".