10120800000 has 216 divisors, whose sum is σ = 33675938352. Its totient is φ = 2698240000.

The previous prime is 10120799981. The next prime is 10120800013. The reversal of 10120800000 is 802101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2397892 + ... + 2402108.

It is an arithmetic number, because the mean of its divisors is an integer number (155907122).

Almost surely, 2^10120800000 is an apocalyptic number.

10120800000 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 10120800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16837969176).

10120800000 is an abundant number, since it is smaller than the sum of its proper divisors (23555138352).

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

10120800000 is an frugal number, since it uses more digits than its factorization.

10120800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4261 (or 4227 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The spelling of 10120800000 in words is "ten billion, one hundred twenty million, eight hundred thousand".