123222013200 has 720 divisors, whose sum is σ = 507294156096. Its totient is φ = 27304243200.

The previous prime is 123222013199. The next prime is 123222013339. The reversal of 123222013200 is 2310222321.

123222013200 is a `hidden beast` number, since 1 + 2 + 322 + 20 + 1 + 320 + 0 = 666.

123222013200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55082482 + ... + 55084718.

Almost surely, 2^123222013200 is an apocalyptic number.

123222013200 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 123222013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253647078048).

123222013200 is an abundant number, since it is smaller than the sum of its proper divisors (384072142896).

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

123222013200 is a wasteful number, since it uses less digits than its factorization.

123222013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 123222013200 its reverse (2310222321), we get a palindrome (125532235521).

The spelling of 123222013200 in words is "one hundred twenty-three billion, two hundred twenty-two million, thirteen thousand, two hundred".