10151232000 has 960 divisors, whose sum is σ = 42790011264. Its totient is φ = 2115993600.

The previous prime is 10151231983. The next prime is 10151232023. The reversal of 10151232000 is 23215101.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×10151232000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122303959 + ... + 122304041.

Almost surely, 2^10151232000 is an apocalyptic number.

10151232000 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 10151232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21395005632).

10151232000 is an abundant number, since it is smaller than the sum of its proper divisors (32638779264).

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

10151232000 is an equidigital number, since it uses as much as digits as its factorization.

10151232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 10151232000 its reverse (23215101), we get a palindrome (10174447101).

The spelling of 10151232000 in words is "ten billion, one hundred fifty-one million, two hundred thirty-two thousand".