200012123410400 has 216 divisors, whose sum is σ = 568390328956296. Its totient is φ = 68528304768000.

The previous prime is 200012123410361. The next prime is 200012123410441. The reversal of 200012123410400 is 4014321210002.

It is a super-2 number, since 2×200012123410400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55120982 + ... + 58637418.

It is an arithmetic number, because the mean of its divisors is an integer number (2631436708131).

Almost surely, 2^{200012123410400} is an apocalyptic number.

200012123410400 is a gapful number since it is divisible by the number (20) 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 200012123410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284195164478148).

200012123410400 is an abundant number, since it is smaller than the sum of its proper divisors (368378205545896).

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

200012123410400 is a wasteful number, since it uses less digits than its factorization.

200012123410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3517922 (or 3517902 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 200012123410400 its reverse (4014321210002), we get a palindrome (204026444620402).

The spelling of 200012123410400 in words is "two hundred trillion, twelve billion, one hundred twenty-three million, four hundred ten thousand, four hundred".