123201100320 has 96 divisors (see below), whose sum is σ = 388527306048. Its totient is φ = 32816053248.

The previous prime is 123201100301. The next prime is 123201100327. The reversal of 123201100320 is 23001102321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×123201100320² (a number of 23 digits) contains 22 as substring.

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 123201100320.

It is not an unprimeable number, because it can be changed into a prime (123201100327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274627 + ... + 567293.

It is an arithmetic number, because the mean of its divisors is an integer number (4047159438).

Almost surely, 2^123201100320 is an apocalyptic number.

123201100320 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 123201100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194263653024).

123201100320 is an abundant number, since it is smaller than the sum of its proper divisors (265326205728).

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

123201100320 is a wasteful number, since it uses less digits than its factorization.

123201100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293562 (or 293554 counting only the distinct ones).

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

Adding to 123201100320 its reverse (23001102321), we get a palindrome (146202202641).

The spelling of 123201100320 in words is "one hundred twenty-three billion, two hundred one million, one hundred thousand, three hundred twenty".