212111012020200 has 384 divisors, whose sum is σ = 678177007643520. Its totient is φ = 54801374515200.

The previous prime is 212111012020147. The next prime is 212111012020211. The reversal of 212111012020200 is 2020210111212.

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

It is a self number, because there is not a number n which added to its sum of digits gives 212111012020200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7231124734 + ... + 7231154066.

It is an arithmetic number, because the mean of its divisors is an integer number (1766085957405).

Almost surely, 2^{212111012020200} is an apocalyptic number.

212111012020200 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 212111012020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339088503821760).

212111012020200 is an abundant number, since it is smaller than the sum of its proper divisors (466065995623320).

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

212111012020200 is a wasteful number, since it uses less digits than its factorization.

212111012020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30757 (or 30748 counting only the distinct ones).

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

Adding to 212111012020200 its reverse (2020210111212), we get a palindrome (214131222131412).

The spelling of 212111012020200 in words is "two hundred twelve trillion, one hundred eleven billion, twelve million, twenty thousand, two hundred".