212488129565712 has 2160 divisors, whose sum is σ = 870037734878208. Its totient is φ = 48723946951680.

The previous prime is 212488129565683. The next prime is 212488129565713. The reversal of 212488129565712 is 217565921884212.

It is a happy number.

212488129565712 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 8 + 8 + 1 + 2 + 9 + 56 + 571 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 212488129565712.

It is not an unprimeable number, because it can be changed into a prime (212488129565713) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 31419208443 + ... + 31419215205.

Almost surely, 2^{212488129565712} is an apocalyptic number.

212488129565712 is a gapful number since it is divisible by the number (22) 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 212488129565712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435018867439104).

212488129565712 is an abundant number, since it is smaller than the sum of its proper divisors (657549605312496).

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

212488129565712 is a wasteful number, since it uses less digits than its factorization.

212488129565712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6862 (or 6822 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 63.

The spelling of 212488129565712 in words is "two hundred twelve trillion, four hundred eighty-eight billion, one hundred twenty-nine million, five hundred sixty-five thousand, seven hundred twelve".