4200124240200 has 192 divisors, whose sum is σ = 15527416181760. Its totient is φ = 918288011520.

The previous prime is 4200124240187. The next prime is 4200124240297. The reversal of 4200124240200 is 20424210024.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21643174 + ... + 21836373.

It is an arithmetic number, because the mean of its divisors is an integer number (80871959280).

Almost surely, 2^{4200124240200} is an apocalyptic number.

4200124240200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4200124240200 is an abundant number, since it is smaller than the sum of its proper divisors (11327291941560).

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

4200124240200 is a wasteful number, since it uses less digits than its factorization.

4200124240200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43479596 (or 43479587 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 4200124240200 its reverse (20424210024), we get a palindrome (4220548450224).

The spelling of 4200124240200 in words is "four trillion, two hundred billion, one hundred twenty-four million, two hundred forty thousand, two hundred".