200105250534120 has 256 divisors, whose sum is σ = 610313495834880. Its totient is φ = 52475481907200.

The previous prime is 200105250534109. The next prime is 200105250534191. The reversal of 200105250534120 is 21435052501002.

200105250534120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×200105250534120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21910129074 + ... + 21910138206.

It is an arithmetic number, because the mean of its divisors is an integer number (2384037093105).

Almost surely, 2^{200105250534120} is an apocalyptic number.

200105250534120 is a gapful number since it is divisible by the number (20) 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 200105250534120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305156747917440).

200105250534120 is an abundant number, since it is smaller than the sum of its proper divisors (410208245300760).

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

200105250534120 is a wasteful number, since it uses less digits than its factorization.

200105250534120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13556 (or 13552 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 200105250534120 in words is "two hundred trillion, one hundred five billion, two hundred fifty million, five hundred thirty-four thousand, one hundred twenty".