10122233200 has 60 divisors (see below), whose sum is σ = 24355238040. Its totient is φ = 4042804480.

The previous prime is 10122233183. The next prime is 10122233201. The reversal of 10122233200 is 233222101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122233201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 252111 + ... + 289489.

It is an arithmetic number, because the mean of its divisors is an integer number (405920634).

Almost surely, 2^10122233200 is an apocalyptic number.

10122233200 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 10122233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12177619020).

10122233200 is an abundant number, since it is smaller than the sum of its proper divisors (14233004840).

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

10122233200 is a wasteful number, since it uses less digits than its factorization.

10122233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38074 (or 38063 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10122233200 its reverse (233222101), we get a palindrome (10355455301).

The spelling of 10122233200 in words is "ten billion, one hundred twenty-two million, two hundred thirty-three thousand, two hundred".