212006302368 has 240 divisors, whose sum is σ = 666804267360. Its totient is φ = 58933744128.

The previous prime is 212006302367. The next prime is 212006302369. The reversal of 212006302368 is 863203600212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212006302367) and next prime (212006302369).

It is a super-3 number, since 3×212006302368³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (212006302367) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8515923 + ... + 8540781.

It is an arithmetic number, because the mean of its divisors is an integer number (2778351114).

Almost surely, 2^212006302368 is an apocalyptic number.

212006302368 is a gapful number since it is divisible by the number (28) 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 212006302368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333402133680).

212006302368 is an abundant number, since it is smaller than the sum of its proper divisors (454797964992).

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

212006302368 is an equidigital number, since it uses as much as digits as its factorization.

212006302368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24937 (or 24908 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 212006302368 in words is "two hundred twelve billion, six million, three hundred two thousand, three hundred sixty-eight".