10133224512 has 224 divisors, whose sum is σ = 28388828160. Its totient is φ = 3186677760.

The previous prime is 10133224499. The next prime is 10133224513. The reversal of 10133224512 is 21542233101.

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

It is not an unprimeable number, because it can be changed into a prime (10133224513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34584238 + ... + 34584530.

It is an arithmetic number, because the mean of its divisors is an integer number (126735840).

Almost surely, 2^10133224512 is an apocalyptic number.

10133224512 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 10133224512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14194414080).

10133224512 is an abundant number, since it is smaller than the sum of its proper divisors (18255603648).

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

10133224512 is a wasteful number, since it uses less digits than its factorization.

10133224512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 10133224512 its reverse (21542233101), we get a palindrome (31675457613).

The spelling of 10133224512 in words is "ten billion, one hundred thirty-three million, two hundred twenty-four thousand, five hundred twelve".