10024211124312 has 128 divisors (see below), whose sum is σ = 31344118248960. Its totient is φ = 2595372549120.

The previous prime is 10024211124307. The next prime is 10024211124359. The reversal of 10024211124312 is 21342111242001.

It is a super-2 number, since 2×10024211124312² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8086683 + ... + 9243530.

It is an arithmetic number, because the mean of its divisors is an integer number (244875923820).

Almost surely, 2^{10024211124312} is an apocalyptic number.

10024211124312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10024211124312 is an abundant number, since it is smaller than the sum of its proper divisors (21319907124648).

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

10024211124312 is a wasteful number, since it uses less digits than its factorization.

10024211124312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17330553 (or 17330549 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10024211124312 its reverse (21342111242001), we get a palindrome (31366322366313).

The spelling of 10024211124312 in words is "ten trillion, twenty-four billion, two hundred eleven million, one hundred twenty-four thousand, three hundred twelve".