212197665024 has 216 divisors, whose sum is σ = 619165651104. Its totient is φ = 69888000000.

The previous prime is 212197665023. The next prime is 212197665049. The reversal of 212197665024 is 420566791212.

212197665024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212197665023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75756424 + ... + 75759224.

It is an arithmetic number, because the mean of its divisors is an integer number (2866507644).

Almost surely, 2^212197665024 is an apocalyptic number.

212197665024 is a gapful number since it is divisible by the number (24) 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 212197665024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309582825552).

212197665024 is an abundant number, since it is smaller than the sum of its proper divisors (406967986080).

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

212197665024 is a wasteful number, since it uses less digits than its factorization.

212197665024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3205 (or 3188 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 212197665024 in words is "two hundred twelve billion, one hundred ninety-seven million, six hundred sixty-five thousand, twenty-four".