10003122120000 has 280 divisors, whose sum is σ = 33082476493792. Its totient is φ = 2666707200000.

The previous prime is 10003122119801. The next prime is 10003122120031. The reversal of 10003122120000 is 2122130001.

It is a super-3 number, since 3×10003122120000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 482509635 + ... + 482530365.

Almost surely, 2^{10003122120000} is an apocalyptic number.

10003122120000 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 10003122120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16541238246896).

10003122120000 is an abundant number, since it is smaller than the sum of its proper divisors (23079354373792).

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

10003122120000 is an equidigital number, since it uses as much as digits as its factorization.

10003122120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24787 (or 24762 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10003122120000 its reverse (2122130001), we get a palindrome (10005244250001).

The spelling of 10003122120000 in words is "ten trillion, three billion, one hundred twenty-two million, one hundred twenty thousand".