212202121110000 has 600 divisors, whose sum is σ = 826249216915584. Its totient is φ = 45950518080000.

The previous prime is 212202121109959. The next prime is 212202121110011. The reversal of 212202121110000 is 11121202212.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 74410435 + ... + 77209565.

Almost surely, 2^{212202121110000} is an apocalyptic number.

212202121110000 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 212202121110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413124608457792).

212202121110000 is an abundant number, since it is smaller than the sum of its proper divisors (614047095805584).

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

212202121110000 is a wasteful number, since it uses less digits than its factorization.

212202121110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799207 (or 2799167 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212202121110000 its reverse (11121202212), we get a palindrome (212213242312212).

The spelling of 212202121110000 in words is "two hundred twelve trillion, two hundred two billion, one hundred twenty-one million, one hundred ten thousand".