123011481600 has 1080 divisors, whose sum is σ = 528041515680. Its totient is φ = 27993047040.

The previous prime is 123011481589. The next prime is 123011481613. The reversal of 123011481600 is 6184110321.

It is a happy number.

123011481600 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 11 + 48 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 541900687 + ... + 541900913.

Almost surely, 2^123011481600 is an apocalyptic number.

123011481600 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 123011481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264020757840).

123011481600 is an abundant number, since it is smaller than the sum of its proper divisors (405030034080).

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

123011481600 is an equidigital number, since it uses as much as digits as its factorization.

123011481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 123011481600 its reverse (6184110321), we get a palindrome (129195591921).

The spelling of 123011481600 in words is "one hundred twenty-three billion, eleven million, four hundred eighty-one thousand, six hundred".