5100012120 has 320 divisors, whose sum is σ = 18457021440. Its totient is φ = 1126137600.

The previous prime is 5100012109. The next prime is 5100012131. The reversal of 5100012120 is 212100015.

It is an interprime number because it is at equal distance from previous prime (5100012109) and next prime (5100012131).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 5100012096 and 5100012105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8931435 + ... + 8932005.

It is an arithmetic number, because the mean of its divisors is an integer number (57678192).

Almost surely, 2^5100012120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5100012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9228510720).

5100012120 is an abundant number, since it is smaller than the sum of its proper divisors (13357009320).

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

5100012120 is a wasteful number, since it uses less digits than its factorization.

5100012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 5100012120 is about 71414.3691423512. The cubic root of 5100012120 is about 1721.3019842653.

Adding to 5100012120 its reverse (212100015), we get a palindrome (5312112135).

The spelling of 5100012120 in words is "five billion, one hundred million, twelve thousand, one hundred twenty".