212014364292 has 72 divisors (see below), whose sum is σ = 554816447640. Its totient is φ = 68183915520.

The previous prime is 212014364239. The next prime is 212014364293. The reversal of 212014364292 is 292463410212.

It is a happy number.

212014364292 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 1 + 4 + 3 + 642 + 9 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2647719936 + 209366644356 = 51456^2 + 457566^2 .

It is a super-2 number, since 2×212014364292² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (212014364293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1346278 + ... + 1495490.

It is an arithmetic number, because the mean of its divisors is an integer number (7705783995).

Almost surely, 2^212014364292 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212014364292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277408223820).

212014364292 is an abundant number, since it is smaller than the sum of its proper divisors (342802083348).

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

212014364292 is a wasteful number, since it uses less digits than its factorization.

212014364292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150613 (or 150608 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 212014364292 in words is "two hundred twelve billion, fourteen million, three hundred sixty-four thousand, two hundred ninety-two".