2123114420 has 96 divisors (see below), whose sum is σ = 5202247680. Its totient is φ = 712817280.

The previous prime is 2123114417. The next prime is 2123114423. The reversal of 2123114420 is 244113212.

2123114420 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2123114417) and next prime (2123114423).

It is a super-2 number, since 2×2123114420² = 9015229680823872800, which contains 22 as substring.

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 = 2123114392 and 2123114401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123114423) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1659341 + ... + 1660619.

It is an arithmetic number, because the mean of its divisors is an integer number (54190080).

Almost surely, 2^2123114420 is an apocalyptic number.

2123114420 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 2123114420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2601123840).

2123114420 is an abundant number, since it is smaller than the sum of its proper divisors (3079133260).

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

2123114420 is a wasteful number, since it uses less digits than its factorization.

2123114420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2123114420 is about 46077.2657608934. The cubic root of 2123114420 is about 1285.2604194952.

Adding to 2123114420 its reverse (244113212), we get a palindrome (2367227632).

The spelling of 2123114420 in words is "two billion, one hundred twenty-three million, one hundred fourteen thousand, four hundred twenty".