10123121232 has 320 divisors, whose sum is σ = 34303836160. Its totient is φ = 2798240256.

The previous prime is 10123121209. The next prime is 10123121233. The reversal of 10123121232 is 23212132101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123121233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16513758 + ... + 16514370.

It is an arithmetic number, because the mean of its divisors is an integer number (107199488).

Almost surely, 2^10123121232 is an apocalyptic number.

10123121232 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 10123121232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17151918080).

10123121232 is an abundant number, since it is smaller than the sum of its proper divisors (24180714928).

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

10123121232 is a wasteful number, since it uses less digits than its factorization.

10123121232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10123121232 its reverse (23212132101), we get a palindrome (33335253333).

The spelling of 10123121232 in words is "ten billion, one hundred twenty-three million, one hundred twenty-one thousand, two hundred thirty-two".