510412123100000 has 288 divisors, whose sum is σ = 1376178911100000. Its totient is φ = 184793817600000.

The previous prime is 510412123099979. The next prime is 510412123100063. The reversal of 510412123100000 is 1321214015.

It is a super-2 number, since 2×510412123100000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 250886876 + ... + 252913124.

It is an arithmetic number, because the mean of its divisors is an integer number (4778398996875).

Almost surely, 2^{510412123100000} is an apocalyptic number.

510412123100000 is a gapful number since it is divisible by the number (50) 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 510412123100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688089455550000).

510412123100000 is an abundant number, since it is smaller than the sum of its proper divisors (865766788000000).

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

510412123100000 is a wasteful number, since it uses less digits than its factorization.

510412123100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026524 (or 2026496 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 510412123100000 its reverse (1321214015), we get a palindrome (510413444314015).

The spelling of 510412123100000 in words is "five hundred ten trillion, four hundred twelve billion, one hundred twenty-three million, one hundred thousand".