212202000000 has 336 divisors, whose sum is σ = 763346674350. Its totient is φ = 56582400000.

The previous prime is 212201999983. The next prime is 212202000007. The reversal of 212202000000 is 202212.

It can be written as a sum of positive squares in 7 ways, for example, as 172969482816 + 39232517184 = 415896^2 + 198072^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (212202000007) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 17994106 + ... + 18005894.

Almost surely, 2^212202000000 is an apocalyptic number.

212202000000 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 212202000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381673337175).

212202000000 is an abundant number, since it is smaller than the sum of its proper divisors (551144674350).

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

212202000000 is an frugal number, since it uses more digits than its factorization.

212202000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11839 (or 11799 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 212202000000 its reverse (202212), we get a palindrome (212202202212).

The spelling of 212202000000 in words is "two hundred twelve billion, two hundred two million", and thus it is an aban number.