2122152120 has 384 divisors, whose sum is σ = 7925299200. Its totient is φ = 487756800.

The previous prime is 2122152113. The next prime is 2122152127. The reversal of 2122152120 is 212512212.

2122152120 is a `hidden beast` number, since 2 + 122 + 1 + 521 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2122152113) and next prime (2122152127).

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

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 2122152093 and 2122152102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122152127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7242694 + ... + 7242986.

It is an arithmetic number, because the mean of its divisors is an integer number (20638800).

Almost surely, 2^2122152120 is an apocalyptic number.

2122152120 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 2122152120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962649600).

2122152120 is an abundant number, since it is smaller than the sum of its proper divisors (5803147080).

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

2122152120 is a wasteful number, since it uses less digits than its factorization.

2122152120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2122152120 is about 46066.8223345175. The cubic root of 2122152120 is about 1285.0662090470.

Adding to 2122152120 its reverse (212512212), we get a palindrome (2334664332).

The spelling of 2122152120 in words is "two billion, one hundred twenty-two million, one hundred fifty-two thousand, one hundred twenty".