500106121812 has 336 divisors, whose sum is σ = 1457607312000. Its totient is φ = 148805268480.

The previous prime is 500106121699. The next prime is 500106121819. The reversal of 500106121812 is 218121601005.

500106121812 is a `hidden beast` number, since 500 + 1 + 0 + 61 + 21 + 81 + 2 = 666.

It is a super-2 number, since 2×500106121812² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500106121819) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 476745064 + ... + 476746112.

It is an arithmetic number, because the mean of its divisors is an integer number (4338117000).

Almost surely, 2^500106121812 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 500106121812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728803656000).

500106121812 is an abundant number, since it is smaller than the sum of its proper divisors (957501190188).

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

500106121812 is a wasteful number, since it uses less digits than its factorization.

500106121812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 500106121812 its reverse (218121601005), we get a palindrome (718227722817).

The spelling of 500106121812 in words is "five hundred billion, one hundred six million, one hundred twenty-one thousand, eight hundred twelve".