212852378689920 has 1280 divisors, whose sum is σ = 778786092564480. Its totient is φ = 55389306470400.

The previous prime is 212852378689883. The next prime is 212852378689931. The reversal of 212852378689920 is 29986873258212.

It is a happy number.

212852378689920 is a `hidden beast` number, since 2 + 1 + 2 + 8 + 523 + 7 + 8 + 6 + 8 + 9 + 92 + 0 = 666.

It is a super-2 number, since 2×212852378689920² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 127993011009 + ... + 127993012671.

It is an arithmetic number, because the mean of its divisors is an integer number (608426634816).

Almost surely, 2^{212852378689920} is an apocalyptic number.

212852378689920 is a gapful number since it is divisible by the number (20) 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 212852378689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389393046282240).

212852378689920 is an abundant number, since it is smaller than the sum of its proper divisors (565933713874560).

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

212852378689920 is a wasteful number, since it uses less digits than its factorization.

212852378689920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 212852378689920 in words is "two hundred twelve trillion, eight hundred fifty-two billion, three hundred seventy-eight million, six hundred eighty-nine thousand, nine hundred twenty".