514212312000 has 224 divisors, whose sum is σ = 1707324300864. Its totient is φ = 136364544000.

The previous prime is 514212311999. The next prime is 514212312001. The reversal of 514212312000 is 213212415.

It is an interprime number because it is at equal distance from previous prime (514212311999) and next prime (514212312001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514212312001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4284814 + ... + 4403186.

It is an arithmetic number, because the mean of its divisors is an integer number (7621983486).

Almost surely, 2^514212312000 is an apocalyptic number.

514212312000 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 514212312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853662150432).

514212312000 is an abundant number, since it is smaller than the sum of its proper divisors (1193111988864).

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

514212312000 is a wasteful number, since it uses less digits than its factorization.

514212312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118584 (or 118564 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 514212312000 its reverse (213212415), we get a palindrome (514425524415).

The spelling of 514212312000 in words is "five hundred fourteen billion, two hundred twelve million, three hundred twelve thousand".