123045216 has 192 divisors, whose sum is σ = 406425600. Its totient is φ = 31781376.

The previous prime is 123045211. The next prime is 123045217. The reversal of 123045216 is 612540321.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123045211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293455 + ... + 293873.

It is an arithmetic number, because the mean of its divisors is an integer number (2116800).

Almost surely, 2^123045216 is an apocalyptic number.

123045216 is a gapful number since it is divisible by the number (16) 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 123045216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203212800).

123045216 is an abundant number, since it is smaller than the sum of its proper divisors (283380384).

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

123045216 is a wasteful number, since it uses less digits than its factorization.

123045216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 123045216 is about 11092.5748138113. The cubic root of 123045216 is about 497.3799156311.

Adding to 123045216 its reverse (612540321), we get a palindrome (735585537).

The spelling of 123045216 in words is "one hundred twenty-three million, forty-five thousand, two hundred sixteen".