12354351130044 has 192 divisors, whose sum is σ = 39957965107200. Its totient is φ = 3206936836800.

The previous prime is 12354351130039. The next prime is 12354351130067. The reversal of 12354351130044 is 44003115345321.

12354351130044 is a `hidden beast` number, since 1 + 2 + 35 + 43 + 511 + 30 + 0 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12354351129990 and 12354351130008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13004799 + ... + 13922409.

It is an arithmetic number, because the mean of its divisors is an integer number (208114401600).

Almost surely, 2^{12354351130044} is an apocalyptic number.

12354351130044 is a gapful number since it is divisible by the number (14) 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 12354351130044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19978982553600).

12354351130044 is an abundant number, since it is smaller than the sum of its proper divisors (27603613977156).

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

12354351130044 is a wasteful number, since it uses less digits than its factorization.

12354351130044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919261 (or 919253 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 12354351130044 its reverse (44003115345321), we get a palindrome (56357466475365).

The spelling of 12354351130044 in words is "twelve trillion, three hundred fifty-four billion, three hundred fifty-one million, one hundred thirty thousand, forty-four".