10000212123200 has 252 divisors, whose sum is σ = 27564024478140. Its totient is φ = 3565059563520.

The previous prime is 10000212123137. The next prime is 10000212123203. The reversal of 10000212123200 is 232121200001.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 8865339510784 + 1134872612416 = 2977472^2 + 1065304^2 .

It is not an unprimeable number, because it can be changed into a prime (10000212123203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7203962 + ... + 8479238.

Almost surely, 2^{10000212123200} is an apocalyptic number.

10000212123200 is a gapful number since it is divisible by the number (10) 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 10000212123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13782012239070).

10000212123200 is an abundant number, since it is smaller than the sum of its proper divisors (17563812354940).

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

10000212123200 is a wasteful number, since it uses less digits than its factorization.

10000212123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275354 (or 1275326 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10000212123200 its reverse (232121200001), we get a palindrome (10232333323201).

The spelling of 10000212123200 in words is "ten trillion, two hundred twelve million, one hundred twenty-three thousand, two hundred".