212121121100000 has 288 divisors, whose sum is σ = 597273710160960. Its totient is φ = 72639313920000.

The previous prime is 212121121099961. The next prime is 212121121100027. The reversal of 212121121100000 is 1121121212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 580117232 + ... + 580482768.

It is an arithmetic number, because the mean of its divisors is an integer number (2073867049170).

Almost surely, 2^{212121121100000} is an apocalyptic number.

212121121100000 is a gapful number since it is divisible by the number (20) 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 212121121100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298636855080480).

212121121100000 is an abundant number, since it is smaller than the sum of its proper divisors (385152589060960).

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

212121121100000 is an frugal number, since it uses more digits than its factorization.

212121121100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366408 (or 366380 counting only the distinct ones).

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

Adding to 212121121100000 its reverse (1121121212), we get a palindrome (212122242221212).

The spelling of 212121121100000 in words is "two hundred twelve trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred thousand".