2122141317120 has 2304 divisors, whose sum is σ = 8942907617280. Its totient is φ = 477757440000.

The previous prime is 2122141317119. The next prime is 2122141317157. The reversal of 2122141317120 is 217131412212.

2122141317120 is a `hidden beast` number, since 2 + 1 + 221 + 4 + 1 + 317 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34789201890 + ... + 34789201950.

It is an arithmetic number, because the mean of its divisors is an integer number (3881470320).

Almost surely, 2^{2122141317120} is an apocalyptic number.

2122141317120 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 2122141317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4471453808640).

2122141317120 is an abundant number, since it is smaller than the sum of its proper divisors (6820766300160).

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

2122141317120 is a wasteful number, since it uses less digits than its factorization.

2122141317120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 2122141317120 its reverse (217131412212), we get a palindrome (2339272729332).

The spelling of 2122141317120 in words is "two trillion, one hundred twenty-two billion, one hundred forty-one million, three hundred seventeen thousand, one hundred twenty".