12483732101120 has 1152 divisors, whose sum is σ = 37344009830400. Its totient is φ = 3987151257600.

The previous prime is 12483732101101. The next prime is 12483732101129. The reversal of 12483732101120 is 2110123738421.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12483732101129) 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, 55980861329 + ... + 55980861551.

It is an arithmetic number, because the mean of its divisors is an integer number (32416675200).

Almost surely, 2^{12483732101120} is an apocalyptic number.

12483732101120 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 12483732101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18672004915200).

12483732101120 is an abundant number, since it is smaller than the sum of its proper divisors (24860277729280).

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

12483732101120 is a wasteful number, since it uses less digits than its factorization.

12483732101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

Adding to 12483732101120 its reverse (2110123738421), we get a palindrome (14593855839541).

The spelling of 12483732101120 in words is "twelve trillion, four hundred eighty-three billion, seven hundred thirty-two million, one hundred one thousand, one hundred twenty".