2122141320 has 192 divisors, whose sum is σ = 7458862320. Its totient is φ = 520169472.

The previous prime is 2122141313. The next prime is 2122141361. The reversal of 2122141320 is 231412212.

It is a happy number.

2122141320 is a `hidden beast` number, since 212 + 21 + 413 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2643876 + 2119497444 = 1626^2 + 46038^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2122141293 and 2122141302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1295542 + ... + 1297178.

Almost surely, 2^2122141320 is an apocalyptic number.

2122141320 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 2122141320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3729431160).

2122141320 is an abundant number, since it is smaller than the sum of its proper divisors (5336721000).

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

2122141320 is a wasteful number, since it uses less digits than its factorization.

2122141320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2122141320 is about 46066.7051133462. The cubic root of 2122141320 is about 1285.0640290684.

Adding to 2122141320 its reverse (231412212), we get a palindrome (2353553532).

The spelling of 2122141320 in words is "two billion, one hundred twenty-two million, one hundred forty-one thousand, three hundred twenty".