412123144200 has 192 divisors, whose sum is σ = 1355093625600. Its totient is φ = 103320172800.

The previous prime is 412123144189. The next prime is 412123144289. The reversal of 412123144200 is 2441321214.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1355419 + ... + 1631381.

It is an arithmetic number, because the mean of its divisors is an integer number (7057779300).

Almost surely, 2^412123144200 is an apocalyptic number.

412123144200 is a gapful number since it is divisible by the number (40) 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 412123144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677546812800).

412123144200 is an abundant number, since it is smaller than the sum of its proper divisors (942970481400).

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

412123144200 is a wasteful number, since it uses less digits than its factorization.

412123144200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276132 (or 276123 counting only the distinct ones).

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

Adding to 412123144200 its reverse (2441321214), we get a palindrome (414564465414).

The spelling of 412123144200 in words is "four hundred twelve billion, one hundred twenty-three million, one hundred forty-four thousand, two hundred".