212123202000000 has 448 divisors, whose sum is σ = 704567456421120. Its totient is φ = 56545216000000.

The previous prime is 212123201999993. The next prime is 212123202000007. The reversal of 212123202000000 is 202321212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212123201999993) and next prime (212123202000007).

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

It is not an unprimeable number, because it can be changed into a prime (212123202000007) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 22781995345 + ... + 22782004655.

Almost surely, 2^{212123202000000} is an apocalyptic number.

212123202000000 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 212123202000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352283728210560).

212123202000000 is an abundant number, since it is smaller than the sum of its proper divisors (492444254421120).

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

212123202000000 is an frugal number, since it uses more digits than its factorization.

212123202000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13155 (or 13118 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 212123202000000 its reverse (202321212), we get a palindrome (212123404321212).

The spelling of 212123202000000 in words is "two hundred twelve trillion, one hundred twenty-three billion, two hundred two million", and thus it is an aban number.