123012401024 has 128 divisors (see below), whose sum is σ = 264751200000. Its totient is φ = 56740884480.

The previous prime is 123012401011. The next prime is 123012401033. The reversal of 123012401024 is 420104210321.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 123012400987 and 123012401005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82062227 + ... + 82063725.

It is an arithmetic number, because the mean of its divisors is an integer number (2068368750).

Almost surely, 2^123012401024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123012401024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132375600000).

123012401024 is an abundant number, since it is smaller than the sum of its proper divisors (141738798976).

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

123012401024 is a wasteful number, since it uses less digits than its factorization.

123012401024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 123012401024 its reverse (420104210321), we get a palindrome (543116611345).

The spelling of 123012401024 in words is "one hundred twenty-three billion, twelve million, four hundred one thousand, twenty-four".