212821696620 has 288 divisors, whose sum is σ = 740099082240. Its totient is φ = 50696305920.

The previous prime is 212821696579. The next prime is 212821696621. The reversal of 212821696620 is 26696128212.

212821696620 is a `hidden beast` number, since 2 + 1 + 2 + 8 + 2 + 16 + 9 + 6 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (212821696621) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2791447 + ... + 2866673.

It is an arithmetic number, because the mean of its divisors is an integer number (2569788480).

Almost surely, 2^212821696620 is an apocalyptic number.

212821696620 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 212821696620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370049541120).

212821696620 is an abundant number, since it is smaller than the sum of its proper divisors (527277385620).

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

212821696620 is a wasteful number, since it uses less digits than its factorization.

212821696620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75302 (or 75281 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 212821696620 in words is "two hundred twelve billion, eight hundred twenty-one million, six hundred ninety-six thousand, six hundred twenty".