212202040032 has 144 divisors (see below), whose sum is σ = 627600682800. Its totient is φ = 70530435072.

The previous prime is 212202040021. The next prime is 212202040049. The reversal of 212202040032 is 230040202212.

212202040032 is a `hidden beast` number, since 21 + 220 + 20 + 400 + 3 + 2 = 666.

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

It is a super-2 number, since 2×212202040032² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212202039987 and 212202040014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2674728 + ... + 2752920.

It is an arithmetic number, because the mean of its divisors is an integer number (4358338075).

Almost surely, 2^212202040032 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 212202040032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313800341400).

212202040032 is an abundant number, since it is smaller than the sum of its proper divisors (415398642768).

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

212202040032 is an equidigital number, since it uses as much as digits as its factorization.

212202040032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78567 (or 78547 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 212202040032 its reverse (230040202212), we get a palindrome (442242242244).

The spelling of 212202040032 in words is "two hundred twelve billion, two hundred two million, forty thousand, thirty-two".