123420672 has 180 divisors, whose sum is σ = 381670016. Its totient is φ = 39813120.

The previous prime is 123420667. The next prime is 123420727. The reversal of 123420672 is 276024321.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3981297 + ... + 3981327.

Almost surely, 2^123420672 is an apocalyptic number.

123420672 is a gapful number since it is divisible by the number (12) 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 123420672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190835008).

123420672 is an abundant number, since it is smaller than the sum of its proper divisors (258249344).

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

123420672 is an frugal number, since it uses more digits than its factorization.

123420672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 123420672 is about 11109.4856766639. The cubic root of 123420672 is about 497.8852980135.

Adding to 123420672 its reverse (276024321), we get a palindrome (399444993).

The spelling of 123420672 in words is "one hundred twenty-three million, four hundred twenty thousand, six hundred seventy-two".