10121448960 has 800 divisors, whose sum is σ = 43730058240. Its totient is φ = 2185740288.

The previous prime is 10121448947. The next prime is 10121449021. The reversal of 10121448960 is 6984412101.

10121448960 is a `hidden beast` number, since 1 + 0 + 121 + 448 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27578697 + ... + 27579063.

Almost surely, 2^10121448960 is an apocalyptic number.

10121448960 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 10121448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21865029120).

10121448960 is an abundant number, since it is smaller than the sum of its proper divisors (33608609280).

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

10121448960 is an equidigital number, since it uses as much as digits as its factorization.

10121448960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 10121448960 in words is "ten billion, one hundred twenty-one million, four hundred forty-eight thousand, nine hundred sixty".