10543122541200 has 120 divisors (see below), whose sum is σ = 34410365059968. Its totient is φ = 2758452170240.

The previous prime is 10543122541187. The next prime is 10543122541229. The reversal of 10543122541200 is 214522134501.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10543122541200² (a number of 27 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82822584 + ... + 82949783.

Almost surely, 2^{10543122541200} is an apocalyptic number.

10543122541200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10543122541200 is an abundant number, since it is smaller than the sum of its proper divisors (23867242518768).

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

10543122541200 is a wasteful number, since it uses less digits than its factorization.

10543122541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165772441 (or 165772430 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 10543122541200 its reverse (214522134501), we get a palindrome (10757644675701).

The spelling of 10543122541200 in words is "ten trillion, five hundred forty-three billion, one hundred twenty-two million, five hundred forty-one thousand, two hundred".