2122112130320 has 80 divisors (see below), whose sum is σ = 6072505501440. Its totient is φ = 671613507072.

The previous prime is 2122112130301. The next prime is 2122112130323. The reversal of 2122112130320 is 230312112212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2122112130292 and 2122112130301.

It is not an unprimeable number, because it can be changed into a prime (2122112130323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 145742180 + ... + 145756739.

It is an arithmetic number, because the mean of its divisors is an integer number (75906318768).

Almost surely, 2^{2122112130320} is an apocalyptic number.

2122112130320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122112130320 is an abundant number, since it is smaller than the sum of its proper divisors (3950393371120).

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

2122112130320 is a wasteful number, since it uses less digits than its factorization.

2122112130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291498952 (or 291498946 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2122112130320 its reverse (230312112212), we get a palindrome (2352424242532).

The spelling of 2122112130320 in words is "two trillion, one hundred twenty-two billion, one hundred twelve million, one hundred thirty thousand, three hundred twenty".