103200123120 has 80 divisors (see below), whose sum is σ = 320005173120. Its totient is φ = 27512739072.

The previous prime is 103200123101. The next prime is 103200123127. The reversal of 103200123120 is 21321002301.

It is a tau number, because it is divible by the number of its divisors (80).

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 103200123120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103200123127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 882651 + ... + 992709.

It is an arithmetic number, because the mean of its divisors is an integer number (4000064664).

Almost surely, 2^103200123120 is an apocalyptic number.

103200123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103200123120 is an abundant number, since it is smaller than the sum of its proper divisors (216805050000).

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

103200123120 is a wasteful number, since it uses less digits than its factorization.

103200123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113982 (or 113976 counting only the distinct ones).

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

Adding to 103200123120 its reverse (21321002301), we get a palindrome (124521125421).

The spelling of 103200123120 in words is "one hundred three billion, two hundred million, one hundred twenty-three thousand, one hundred twenty".