212240040120144 has 160 divisors (see below), whose sum is σ = 641550797942400. Its totient is φ = 66993935155200.

The previous prime is 212240040120067. The next prime is 212240040120167. The reversal of 212240040120144 is 441021040042212.

212240040120144 is a `hidden beast` number, since 2 + 1 + 2 + 240 + 0 + 401 + 2 + 0 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13182544 + ... + 24459344.

It is an arithmetic number, because the mean of its divisors is an integer number (4009692487140).

Almost surely, 2^{212240040120144} is an apocalyptic number.

212240040120144 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 212240040120144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320775398971200).

212240040120144 is an abundant number, since it is smaller than the sum of its proper divisors (429310757822256).

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

212240040120144 is a wasteful number, since it uses less digits than its factorization.

212240040120144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11279130 (or 11279118 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 212240040120144 its reverse (441021040042212), we get a palindrome (653261080162356).

The spelling of 212240040120144 in words is "two hundred twelve trillion, two hundred forty billion, forty million, one hundred twenty thousand, one hundred forty-four".