103681520712000 has 1008 divisors, whose sum is σ = 465906754500096. Its totient is φ = 21544199424000.

The previous prime is 103681520711983. The next prime is 103681520712013. The reversal of 103681520712000 is 217025186301.

103681520712000 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 8 + 1 + 520 + 7 + 120 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60133929 + ... + 61834071.

Almost surely, 2^{103681520712000} is an apocalyptic number.

103681520712000 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 103681520712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232953377250048).

103681520712000 is an abundant number, since it is smaller than the sum of its proper divisors (362225233788096).

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

103681520712000 is a wasteful number, since it uses less digits than its factorization.

103681520712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700205 (or 1700171 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 103681520712000 its reverse (217025186301), we get a palindrome (103898545898301).

The spelling of 103681520712000 in words is "one hundred three trillion, six hundred eighty-one billion, five hundred twenty million, seven hundred twelve thousand".