412224102000 has 240 divisors, whose sum is σ = 1441114111008. Its totient is φ = 109823155200.

The previous prime is 412224101983. The next prime is 412224102001. The reversal of 412224102000 is 201422214.

412224102000 is a `hidden beast` number, since 412 + 224 + 10 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-4 number, since 4×412224102000⁴ (a number of 48 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412224102001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20203804 + ... + 20224196.

Almost surely, 2^412224102000 is an apocalyptic number.

412224102000 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 412224102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720557055504).

412224102000 is an abundant number, since it is smaller than the sum of its proper divisors (1028890009008).

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

412224102000 is a wasteful number, since it uses less digits than its factorization.

412224102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21545 (or 21526 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 412224102000 its reverse (201422214), we get a palindrome (412425524214).

The spelling of 412224102000 in words is "four hundred twelve billion, two hundred twenty-four million, one hundred two thousand".