10242411312 has 80 divisors (see below), whose sum is σ = 30365215232. Its totient is φ = 2914237440.

The previous prime is 10242411259. The next prime is 10242411317. The reversal of 10242411312 is 21311424201.

10242411312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10242411312² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10242411317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17733 + ... + 144219.

Almost surely, 2^10242411312 is an apocalyptic number.

10242411312 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 10242411312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15182607616).

10242411312 is an abundant number, since it is smaller than the sum of its proper divisors (20122803920).

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

10242411312 is a wasteful number, since it uses less digits than its factorization.

10242411312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126746 (or 126740 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10242411312 its reverse (21311424201), we get a palindrome (31553835513).

The spelling of 10242411312 in words is "ten billion, two hundred forty-two million, four hundred eleven thousand, three hundred twelve".