123312420000 has 2160 divisors, whose sum is σ = 588017574144. Its totient is φ = 24192000000.

The previous prime is 123312419987. The next prime is 123312420013. The reversal of 123312420000 is 24213321.

123312420000 is a `hidden beast` number, since 1 + 233 + 12 + 420 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (123312419987) and next prime (123312420013).

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 359 ways as a sum of consecutive naturals, for example, 3007619980 + ... + 3007620020.

Almost surely, 2^123312420000 is an apocalyptic number.

123312420000 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 123312420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294008787072).

123312420000 is an abundant number, since it is smaller than the sum of its proper divisors (464705154144).

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

123312420000 is a wasteful number, since it uses less digits than its factorization.

123312420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 100 counting only the distinct ones).

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

Adding to 123312420000 its reverse (24213321), we get a palindrome (123336633321).

The spelling of 123312420000 in words is "one hundred twenty-three billion, three hundred twelve million, four hundred twenty thousand".