10122222011200 has 504 divisors, whose sum is σ = 27432999622080. Its totient is φ = 3673648742400.

The previous prime is 10122222011191. The next prime is 10122222011201. The reversal of 10122222011200 is 211022222101.

It is a happy number.

It is a super-3 number, since 3×10122222011200³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122222011201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8965652236 + ... + 8965653364.

Almost surely, 2^{10122222011200} is an apocalyptic number.

10122222011200 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 10122222011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13716499811040).

10122222011200 is an abundant number, since it is smaller than the sum of its proper divisors (17310777610880).

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

10122222011200 is a wasteful number, since it uses less digits than its factorization.

10122222011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10122222011200 its reverse (211022222101), we get a palindrome (10333244233301).

The spelling of 10122222011200 in words is "ten trillion, one hundred twenty-two billion, two hundred twenty-two million, eleven thousand, two hundred".