212120212200 has 192 divisors, whose sum is σ = 710682638400. Its totient is φ = 52027852800.

The previous prime is 212120212189. The next prime is 212120212211. The reversal of 212120212200 is 2212021212.

It is an interprime number because it is at equal distance from previous prime (212120212189) and next prime (212120212211).

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 212120212200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2143411 + ... + 2240189.

It is an arithmetic number, because the mean of its divisors is an integer number (3701472075).

Almost surely, 2^212120212200 is an apocalyptic number.

212120212200 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 212120212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355341319200).

212120212200 is an abundant number, since it is smaller than the sum of its proper divisors (498562426200).

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

212120212200 is a wasteful number, since it uses less digits than its factorization.

212120212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97092 (or 97083 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212120212200 its reverse (2212021212), we get a palindrome (214332233412).

The spelling of 212120212200 in words is "two hundred twelve billion, one hundred twenty million, two hundred twelve thousand, two hundred".