212495179104 has 144 divisors (see below), whose sum is σ = 656738082000. Its totient is φ = 64783162368.

The previous prime is 212495179097. The next prime is 212495179111. The reversal of 212495179104 is 401971594212.

212495179104 is a `hidden beast` number, since 2 + 1 + 2 + 49 + 517 + 91 + 0 + 4 = 666.

212495179104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212495179097) and next prime (212495179111).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×212495179104² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212495179104.

It is a congruent number.

It is an unprimeable number.

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, 147747 + ... + 668445.

It is an arithmetic number, because the mean of its divisors is an integer number (4560681125).

Almost surely, 2^212495179104 is an apocalyptic number.

212495179104 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 212495179104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328369041000).

212495179104 is an abundant number, since it is smaller than the sum of its proper divisors (444242902896).

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

212495179104 is a wasteful number, since it uses less digits than its factorization.

212495179104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520837 (or 520826 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 212495179104 in words is "two hundred twelve billion, four hundred ninety-five million, one hundred seventy-nine thousand, one hundred four".