10212232320320 has 140 divisors (see below), whose sum is σ = 25186930831524. Its totient is φ = 3943947141120.

The previous prime is 10212232320307. The next prime is 10212232320359. The reversal of 10212232320320 is 2302323221201.

It can be written as a sum of positive squares in 10 ways, for example, as 8140613286976 + 2071619033344 = 2853176^2 + 1439312^2 .

It is a super-2 number, since 2×10212232320320² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 226307360 + ... + 226352480.

Almost surely, 2^{10212232320320} is an apocalyptic number.

10212232320320 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 10212232320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12593465415762).

10212232320320 is an abundant number, since it is smaller than the sum of its proper divisors (14974698511204).

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

10212232320320 is an frugal number, since it uses more digits than its factorization.

10212232320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45254 (or 45157 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 10212232320320 its reverse (2302323221201), we get a palindrome (12514555541521).

The spelling of 10212232320320 in words is "ten trillion, two hundred twelve billion, two hundred thirty-two million, three hundred twenty thousand, three hundred twenty".