10212223000320 has 432 divisors, whose sum is σ = 38590935862752. Its totient is φ = 2472761917440.

The previous prime is 10212223000319. The next prime is 10212223000363. The reversal of 10212223000320 is 2300032221201.

10212223000320 is a `hidden beast` number, since 1 + 0 + 21 + 2 + 22 + 300 + 0 + 320 = 666.

10212223000320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10212223000293 and 10212223000302.

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, 108044922 + ... + 108139398.

Almost surely, 2^{10212223000320} is an apocalyptic number.

10212223000320 is a gapful number since it is divisible by the number (10) 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 10212223000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19295467931376).

10212223000320 is an abundant number, since it is smaller than the sum of its proper divisors (28378712862432).

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

10212223000320 is a wasteful number, since it uses less digits than its factorization.

10212223000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95368 (or 95351 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10212223000320 its reverse (2300032221201), we get a palindrome (12512255221521).

The spelling of 10212223000320 in words is "ten trillion, two hundred twelve billion, two hundred twenty-three million, three hundred twenty", and thus it is an aban number.