212965641720 has 256 divisors, whose sum is σ = 766112256000. Its totient is φ = 52311218688.

The previous prime is 212965641719. The next prime is 212965641727. The reversal of 212965641720 is 27146569212.

212965641720 is a `hidden beast` number, since 2 + 12 + 9 + 6 + 564 + 1 + 72 + 0 = 666.

It is a super-2 number, since 2×212965641720² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212965641727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6709327 + ... + 6740993.

It is an arithmetic number, because the mean of its divisors is an integer number (2992626000).

Almost surely, 2^212965641720 is an apocalyptic number.

212965641720 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 212965641720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383056128000).

212965641720 is an abundant number, since it is smaller than the sum of its proper divisors (553146614280).

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

212965641720 is a wasteful number, since it uses less digits than its factorization.

212965641720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32179 (or 32169 counting only the distinct ones).

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

The spelling of 212965641720 in words is "two hundred twelve billion, nine hundred sixty-five million, six hundred forty-one thousand, seven hundred twenty".