12001030101004 has 192 divisors, whose sum is σ = 25506651985920. Its totient is φ = 4833235630080.

The previous prime is 12001030100987. The next prime is 12001030101103. The reversal of 12001030101004 is 40010103010021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1887247977 + ... + 1887254335.

It is an arithmetic number, because the mean of its divisors is an integer number (132847145760).

Almost surely, 2^{12001030101004} is an apocalyptic number.

12001030101004 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 12001030101004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12753325992960).

12001030101004 is an abundant number, since it is smaller than the sum of its proper divisors (13505621884916).

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

12001030101004 is a wasteful number, since it uses less digits than its factorization.

12001030101004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6888 (or 6886 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12001030101004 its reverse (40010103010021), we get a palindrome (52011133111025).

The spelling of 12001030101004 in words is "twelve trillion, one billion, thirty million, one hundred one thousand, four".