512123204212000 has 48 divisors (see below), whose sum is σ = 1258286712758712. Its totient is φ = 204849281683200.

The previous prime is 512123204211979. The next prime is 512123204212003. The reversal of 512123204212000 is 212402321215.

It can be written as a sum of positive squares in 4 ways, for example, as 127398987597456 + 384724216614544 = 11287116^2 + 19614388^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (512123204212003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64015396527 + ... + 64015404526.

Almost surely, 2^{512123204212000} is an apocalyptic number.

512123204212000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

512123204212000 is an abundant number, since it is smaller than the sum of its proper divisors (746163508546712).

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

512123204212000 is a wasteful number, since it uses less digits than its factorization.

512123204212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128030801078 (or 128030801060 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 512123204212000 its reverse (212402321215), we get a palindrome (512335606533215).

The spelling of 512123204212000 in words is "five hundred twelve trillion, one hundred twenty-three billion, two hundred four million, two hundred twelve thousand".