212322402240 has 224 divisors, whose sum is σ = 741427706880. Its totient is φ = 51151835136.

The previous prime is 212322402221. The next prime is 212322402269. The reversal of 212322402240 is 42204223212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 212322402240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405571 + ... + 767549.

It is an arithmetic number, because the mean of its divisors is an integer number (3309945120).

Almost surely, 2^212322402240 is an apocalyptic number.

212322402240 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 212322402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370713853440).

212322402240 is an abundant number, since it is smaller than the sum of its proper divisors (529105304640).

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

212322402240 is a wasteful number, since it uses less digits than its factorization.

212322402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362059 (or 362049 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 212322402240 its reverse (42204223212), we get a palindrome (254526625452).

The spelling of 212322402240 in words is "two hundred twelve billion, three hundred twenty-two million, four hundred two thousand, two hundred forty".