103222121323200 has 1344 divisors, whose sum is σ = 418139787340800. Its totient is φ = 21977956352000.

The previous prime is 103222121323151. The next prime is 103222121323213. The reversal of 103222121323200 is 2323121222301.

It is a super-2 number, since 2×103222121323200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 846375826 + ... + 846497774.

It is an arithmetic number, because the mean of its divisors is an integer number (311115913200).

Almost surely, 2^{103222121323200} is an apocalyptic number.

103222121323200 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 103222121323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209069893670400).

103222121323200 is an abundant number, since it is smaller than the sum of its proper divisors (314917666017600).

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

103222121323200 is a wasteful number, since it uses less digits than its factorization.

103222121323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122066 (or 122051 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 103222121323200 its reverse (2323121222301), we get a palindrome (105545242545501).

The spelling of 103222121323200 in words is "one hundred three trillion, two hundred twenty-two billion, one hundred twenty-one million, three hundred twenty-three thousand, two hundred".