123620240000400 has 480 divisors, whose sum is σ = 465278980239360. Its totient is φ = 27660182784000.

The previous prime is 123620240000347. The next prime is 123620240000407. The reversal of 123620240000400 is 4000042026321.

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

It is not an unprimeable number, because it can be changed into a prime (123620240000407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1762468531 + ... + 1762538669.

It is an arithmetic number, because the mean of its divisors is an integer number (969331208832).

Almost surely, 2^{123620240000400} is an apocalyptic number.

123620240000400 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 123620240000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232639490119680).

123620240000400 is an abundant number, since it is smaller than the sum of its proper divisors (341658740238960).

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

123620240000400 is a wasteful number, since it uses less digits than its factorization.

123620240000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80455 (or 80444 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 123620240000400 its reverse (4000042026321), we get a palindrome (127620282026721).

The spelling of 123620240000400 in words is "one hundred twenty-three trillion, six hundred twenty billion, two hundred forty million, four hundred", and thus it is an aban number.