10351123200 has 972 divisors, whose sum is σ = 44170157304. Its totient is φ = 2285568000.

The previous prime is 10351123199. The next prime is 10351123213. The reversal of 10351123200 is 232115301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 333907185 + ... + 333907215.

Almost surely, 2^10351123200 is an apocalyptic number.

10351123200 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 10351123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22085078652).

10351123200 is an abundant number, since it is smaller than the sum of its proper divisors (33819034104).

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

10351123200 is a wasteful number, since it uses less digits than its factorization.

10351123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 10351123200 its reverse (232115301), we get a palindrome (10583238501).

The spelling of 10351123200 in words is "ten billion, three hundred fifty-one million, one hundred twenty-three thousand, two hundred".