10122405200 has 180 divisors, whose sum is σ = 26624216700. Its totient is φ = 3685478400.

The previous prime is 10122405199. The next prime is 10122405259. The reversal of 10122405200 is 250422101.

10122405200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 59105344 + 10063299856 = 7688^2 + 100316^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6534026 + ... + 6535574.

It is an arithmetic number, because the mean of its divisors is an integer number (147912315).

Almost surely, 2^10122405200 is an apocalyptic number.

10122405200 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 10122405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13312108350).

10122405200 is an abundant number, since it is smaller than the sum of its proper divisors (16501811500).

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

10122405200 is a wasteful number, since it uses less digits than its factorization.

10122405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 10122405200 its reverse (250422101), we get a palindrome (10372827301).

The spelling of 10122405200 in words is "ten billion, one hundred twenty-two million, four hundred five thousand, two hundred".