12388534073100 has 504 divisors, whose sum is σ = 40802323327920. Its totient is φ = 3263141168640.

The previous prime is 12388534073053. The next prime is 12388534073131. The reversal of 12388534073100 is 137043588321.

12388534073100 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 8 + 534 + 0 + 7 + 3 + 100 = 666.

It is a super-2 number, since 2×12388534073100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2757294454 + ... + 2757298946.

It is an arithmetic number, because the mean of its divisors is an integer number (80956990730).

Almost surely, 2^{12388534073100} is an apocalyptic number.

12388534073100 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 12388534073100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20401161663960).

12388534073100 is an abundant number, since it is smaller than the sum of its proper divisors (28413789254820).

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

12388534073100 is a wasteful number, since it uses less digits than its factorization.

12388534073100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4981 (or 4959 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 12388534073100 in words is "twelve trillion, three hundred eighty-eight billion, five hundred thirty-four million, seventy-three thousand, one hundred".