10251120432 has 80 divisors (see below), whose sum is σ = 30417497600. Its totient is φ = 2914154496.

The previous prime is 10251120431. The next prime is 10251120449. The reversal of 10251120432 is 23402115201.

It is a super-2 number, since 2×10251120432² (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 a junction number, because it is equal to n+sod(n) for n = 10251120399 and 10251120408.

It is not an unprimeable number, because it can be changed into a prime (10251120431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9793 + ... + 143520.

It is an arithmetic number, because the mean of its divisors is an integer number (380218720).

Almost surely, 2^10251120432 is an apocalyptic number.

10251120432 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 10251120432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15208748800).

10251120432 is an abundant number, since it is smaller than the sum of its proper divisors (20166377168).

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

10251120432 is a wasteful number, since it uses less digits than its factorization.

10251120432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153530 (or 153524 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 10251120432 its reverse (23402115201), we get a palindrome (33653235633).

The spelling of 10251120432 in words is "ten billion, two hundred fifty-one million, one hundred twenty thousand, four hundred thirty-two".