10000122133200 has 240 divisors, whose sum is σ = 32355964907136. Its totient is φ = 2639891865600.

The previous prime is 10000122133189. The next prime is 10000122133201. The reversal of 10000122133200 is 233122100001.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10000122133200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000122133201) 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, 402552780 + ... + 402577620.

Almost surely, 2^{10000122133200} is an apocalyptic number.

10000122133200 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 10000122133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16177982453568).

10000122133200 is an abundant number, since it is smaller than the sum of its proper divisors (22355842773936).

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

10000122133200 is a wasteful number, since it uses less digits than its factorization.

10000122133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28222 (or 28211 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10000122133200 its reverse (233122100001), we get a palindrome (10233244233201).

The spelling of 10000122133200 in words is "ten trillion, one hundred twenty-two million, one hundred thirty-three thousand, two hundred".