13860121930200 has 864 divisors, whose sum is σ = 57668189847840. Its totient is φ = 2921038848000.

The previous prime is 13860121930163. The next prime is 13860121930201. The reversal of 13860121930200 is 203912106831.

13860121930200 is a `hidden beast` number, since 1 + 3 + 8 + 601 + 2 + 19 + 30 + 2 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13860121930201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2199667050 + ... + 2199673350.

Almost surely, 2^{13860121930200} is an apocalyptic number.

13860121930200 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 13860121930200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28834094923920).

13860121930200 is an abundant number, since it is smaller than the sum of its proper divisors (43808067917640).

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

13860121930200 is a wasteful number, since it uses less digits than its factorization.

13860121930200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7389 (or 7364 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 13860121930200 in words is "thirteen trillion, eight hundred sixty billion, one hundred twenty-one million, nine hundred thirty thousand, two hundred".