2134211322120 has 256 divisors, whose sum is σ = 6698690150400. Its totient is φ = 543353287680.

The previous prime is 2134211322083. The next prime is 2134211322137. The reversal of 2134211322120 is 212231124312.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84554142 + ... + 84579378.

It is an arithmetic number, because the mean of its divisors is an integer number (26166758400).

Almost surely, 2^{2134211322120} is an apocalyptic number.

2134211322120 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 2134211322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3349345075200).

2134211322120 is an abundant number, since it is smaller than the sum of its proper divisors (4564478828280).

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

2134211322120 is a wasteful number, since it uses less digits than its factorization.

2134211322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25588 (or 25584 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 2134211322120 its reverse (212231124312), we get a palindrome (2346442446432).

The spelling of 2134211322120 in words is "two trillion, one hundred thirty-four billion, two hundred eleven million, three hundred twenty-two thousand, one hundred twenty".