212144403132144 has 120 divisors (see below), whose sum is σ = 701922778932960. Its totient is φ = 58522593959424.

The previous prime is 212144403132097. The next prime is 212144403132203. The reversal of 212144403132144 is 441231304441212.

212144403132144 is a `hidden beast` number, since 2 + 1 + 2 + 14 + 440 + 31 + 32 + 144 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 212144403132099 and 212144403132108.

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, 3628603827 + ... + 3628662290.

It is an arithmetic number, because the mean of its divisors is an integer number (5849356491108).

Almost surely, 2^{212144403132144} is an apocalyptic number.

212144403132144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212144403132144 is an abundant number, since it is smaller than the sum of its proper divisors (489778375800816).

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

212144403132144 is a wasteful number, since it uses less digits than its factorization.

212144403132144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7257266167 (or 7257266158 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 212144403132144 its reverse (441231304441212), we get a palindrome (653375707573356).

The spelling of 212144403132144 in words is "two hundred twelve trillion, one hundred forty-four billion, four hundred three million, one hundred thirty-two thousand, one hundred forty-four".