212320141440 has 128 divisors (see below), whose sum is σ = 738295110720. Its totient is φ = 51471544320.

The previous prime is 212320141381. The next prime is 212320141441. The reversal of 212320141440 is 44141023212.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×212320141440² (a number of 23 digits) contains 22 as substring.

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 212320141440.

It is not an unprimeable number, because it can be changed into a prime (212320141441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5005399 + ... + 5047638.

Almost surely, 2^212320141440 is an apocalyptic number.

212320141440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212320141440 is an abundant number, since it is smaller than the sum of its proper divisors (525974969280).

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

212320141440 is a wasteful number, since it uses less digits than its factorization.

212320141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10053070 (or 10053058 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 212320141440 its reverse (44141023212), we get a palindrome (256461164652).

The spelling of 212320141440 in words is "two hundred twelve billion, three hundred twenty million, one hundred forty-one thousand, four hundred forty".