103200121232 has 120 divisors (see below), whose sum is σ = 227841276600. Its totient is φ = 45008732160.

The previous prime is 103200121229. The next prime is 103200121253. The reversal of 103200121232 is 232121002301.

It can be written as a sum of positive squares in 4 ways, for example, as 27048407296 + 76151713936 = 164464^2 + 275956^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 103200121232.

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, 33712982 + ... + 33716042.

It is an arithmetic number, because the mean of its divisors is an integer number (1898677305).

Almost surely, 2^103200121232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103200121232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113920638300).

103200121232 is an abundant number, since it is smaller than the sum of its proper divisors (124641155368).

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

103200121232 is a wasteful number, since it uses less digits than its factorization.

103200121232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3569 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 103200121232 its reverse (232121002301), we get a palindrome (335321123533).

The spelling of 103200121232 in words is "one hundred three billion, two hundred million, one hundred twenty-one thousand, two hundred thirty-two".