10212767232 has 160 divisors (see below), whose sum is σ = 28347542784. Its totient is φ = 3264307200.

The previous prime is 10212767209. The next prime is 10212767237. The reversal of 10212767232 is 23276721201.

It is a super-2 number, since 2×10212767232² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10212767193 and 10212767202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212767237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4033807 + ... + 4036337.

Almost surely, 2^10212767232 is an apocalyptic number.

10212767232 is a gapful number since it is divisible by the number (12) 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 10212767232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14173771392).

10212767232 is an abundant number, since it is smaller than the sum of its proper divisors (18134775552).

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

10212767232 is an equidigital number, since it uses as much as digits as its factorization.

10212767232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2660 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 10212767232 in words is "ten billion, two hundred twelve million, seven hundred sixty-seven thousand, two hundred thirty-two".