10012000121200 has 480 divisors, whose sum is σ = 33424518551040. Its totient is φ = 2782472601600.

The previous prime is 10012000121161. The next prime is 10012000121267. The reversal of 10012000121200 is 212100021001.

10012000121200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9445204 + ... + 10451596.

It is an arithmetic number, because the mean of its divisors is an integer number (69634413648).

Almost surely, 2^{10012000121200} is an apocalyptic number.

10012000121200 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 10012000121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16712259275520).

10012000121200 is an abundant number, since it is smaller than the sum of its proper divisors (23412518429840).

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

10012000121200 is a wasteful number, since it uses less digits than its factorization.

10012000121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006465 (or 1006454 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10012000121200 its reverse (212100021001), we get a palindrome (10224100142201).

The spelling of 10012000121200 in words is "ten trillion, twelve billion, one hundred twenty-one thousand, two hundred".