10120269600 has 1008 divisors, whose sum is σ = 44127050688. Its totient is φ = 2217093120.

The previous prime is 10120269581. The next prime is 10120269631. The reversal of 10120269600 is 696202101.

10120269600 is a `hidden beast` number, since 10 + 1 + 20 + 26 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 151048767 + ... + 151048833.

It is an arithmetic number, because the mean of its divisors is an integer number (43776836).

Almost surely, 2^10120269600 is an apocalyptic number.

10120269600 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 10120269600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22063525344).

10120269600 is an abundant number, since it is smaller than the sum of its proper divisors (34006781088).

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

10120269600 is an equidigital number, since it uses as much as digits as its factorization.

10120269600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 10120269600 in words is "ten billion, one hundred twenty million, two hundred sixty-nine thousand, six hundred".