10451232000 has 432 divisors, whose sum is σ = 41037796800. Its totient is φ = 2532864000.

The previous prime is 10451231969. The next prime is 10451232031. The reversal of 10451232000 is 23215401.

10451232000 is a `hidden beast` number, since 10 + 451 + 2 + 3 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10451231969) and next prime (10451232031).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3166351 + ... + 3169649.

It is an arithmetic number, because the mean of its divisors is an integer number (94994900).

Almost surely, 2^10451232000 is an apocalyptic number.

10451232000 is a gapful number since it is divisible by the number (10) 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 10451232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20518898400).

10451232000 is an abundant number, since it is smaller than the sum of its proper divisors (30586564800).

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

10451232000 is a wasteful number, since it uses less digits than its factorization.

10451232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3347 (or 3320 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 10451232000 its reverse (23215401), we get a palindrome (10474447401).

The spelling of 10451232000 in words is "ten billion, four hundred fifty-one million, two hundred thirty-two thousand".