123062400000 has 396 divisors, whose sum is σ = 444250527084. Its totient is φ = 32808960000.

The previous prime is 123062399959. The next prime is 123062400001. The reversal of 123062400000 is 4260321.

It is a happy number.

123062400000 is a `hidden beast` number, since 12 + 30 + 624 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 111481196544 + 11581203456 = 333888^2 + 107616^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123062400001) 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, 28797864 + ... + 28802136.

Almost surely, 2^123062400000 is an apocalyptic number.

123062400000 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 123062400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222125263542).

123062400000 is an abundant number, since it is smaller than the sum of its proper divisors (321188127084).

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

123062400000 is an frugal number, since it uses more digits than its factorization.

123062400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4324 (or 4283 counting only the distinct ones).

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

Adding to 123062400000 its reverse (4260321), we get a palindrome (123066660321).

It can be divided in two parts, 12306 and 2400000, that added together give a triangular number (2412306 = T₂₁₉₆).

The spelling of 123062400000 in words is "one hundred twenty-three billion, sixty-two million, four hundred thousand".