12123404413040 has 80 divisors (see below), whose sum is σ = 28661794340256. Its totient is φ = 4767733171200.

The previous prime is 12123404413039. The next prime is 12123404413067. The reversal of 12123404413040 is 4031440432121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 12123404412994 and 12123404413012.

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, 10392050 + ... + 11499630.

Almost surely, 2^{12123404413040} is an apocalyptic number.

12123404413040 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 12123404413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14330897170128).

12123404413040 is an abundant number, since it is smaller than the sum of its proper divisors (16538389927216).

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

12123404413040 is a wasteful number, since it uses less digits than its factorization.

12123404413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109898 (or 1109892 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 12123404413040 its reverse (4031440432121), we get a palindrome (16154844845161).

The spelling of 12123404413040 in words is "twelve trillion, one hundred twenty-three billion, four hundred four million, four hundred thirteen thousand, forty".