10234817712 has 120 divisors (see below), whose sum is σ = 32783630880. Its totient is φ = 2919905280.

The previous prime is 10234817711. The next prime is 10234817753. The reversal of 10234817712 is 21771843201.

10234817712 is a `hidden beast` number, since 102 + 3 + 481 + 7 + 71 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10234817711) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 707512 + ... + 721832.

It is an arithmetic number, because the mean of its divisors is an integer number (273196924).

Almost surely, 2^10234817712 is an apocalyptic number.

10234817712 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 10234817712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16391815440).

10234817712 is an abundant number, since it is smaller than the sum of its proper divisors (22548813168).

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

10234817712 is a wasteful number, since it uses less digits than its factorization.

10234817712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15051 (or 15042 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 10234817712 in words is "ten billion, two hundred thirty-four million, eight hundred seventeen thousand, seven hundred twelve".