4122413124000 has 192 divisors, whose sum is σ = 13667739845760. Its totient is φ = 1086065203200.

The previous prime is 4122413123989. The next prime is 4122413124013. The reversal of 4122413124000 is 4213142214.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1073485 + ... + 3065484.

It is an arithmetic number, because the mean of its divisors is an integer number (71186145030).

Almost surely, 2^{4122413124000} is an apocalyptic number.

4122413124000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4122413124000 is an abundant number, since it is smaller than the sum of its proper divisors (9545326721760).

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

4122413124000 is a wasteful number, since it uses less digits than its factorization.

4122413124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4139080 (or 4139062 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4122413124000 its reverse (4213142214), we get a palindrome (4126626266214).

The spelling of 4122413124000 in words is "four trillion, one hundred twenty-two billion, four hundred thirteen million, one hundred twenty-four thousand".