103223220000 has 240 divisors, whose sum is σ = 346475717280. Its totient is φ = 26885376000.

The previous prime is 103223219971. The next prime is 103223220011. The reversal of 103223220000 is 22322301.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2559996 + ... + 2600004.

It is an arithmetic number, because the mean of its divisors is an integer number (1443648822).

Almost surely, 2^103223220000 is an apocalyptic number.

103223220000 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 103223220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173237858640).

103223220000 is an abundant number, since it is smaller than the sum of its proper divisors (243252497280).

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

103223220000 is an equidigital number, since it uses as much as digits as its factorization.

103223220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40085 (or 40062 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 103223220000 its reverse (22322301), we get a palindrome (103245542301).

It can be divided in two parts, 1032 and 23220000, that multiplied together give a square (23963040000 = 154800²).

The spelling of 103223220000 in words is "one hundred three billion, two hundred twenty-three million, two hundred twenty thousand".