103120002301200 has 240 divisors, whose sum is σ = 338051243692800. Its totient is φ = 26855868695040.

The previous prime is 103120002301189. The next prime is 103120002301271. The reversal of 103120002301200 is 2103200021301.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103120002301200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 435540451 + ... + 435777149.

It is an arithmetic number, because the mean of its divisors is an integer number (1408546848720).

Almost surely, 2^{103120002301200} is an apocalyptic number.

103120002301200 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 103120002301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169025621846400).

103120002301200 is an abundant number, since it is smaller than the sum of its proper divisors (234931241391600).

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

103120002301200 is a wasteful number, since it uses less digits than its factorization.

103120002301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245206 (or 245195 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 103120002301200 its reverse (2103200021301), we get a palindrome (105223202322501).

The spelling of 103120002301200 in words is "one hundred three trillion, one hundred twenty billion, two million, three hundred one thousand, two hundred".