122673600 has 252 divisors, whose sum is σ = 498707664. Its totient is φ = 28016640.

The previous prime is 122673589. The next prime is 122673601. The reversal of 122673600 is 6376221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122673601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100192 + ... + 101408.

Almost surely, 2^122673600 is an apocalyptic number.

122673600 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 122673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249353832).

122673600 is an abundant number, since it is smaller than the sum of its proper divisors (376034064).

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

122673600 is a wasteful number, since it uses less digits than its factorization.

122673600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 122673600 is about 11075.8114826860. The cubic root of 122673600 is about 496.8786887112.

The spelling of 122673600 in words is "one hundred twenty-two million, six hundred seventy-three thousand, six hundred".