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12001113013032 = 2332111317291092199
BaseRepresentation
bin1010111010100011101000…
…0100111111101100101000
31120111021222012102000122100
42232220322010333230220
53033111234412404112
641305122445453400
72346023524324323
oct256507204775450
946437865360570
1012001113013032
113907709477a90
121419a90571260
13690914178690
142d6bdd7477ba
1515c29a9c72dc
hexaea3a13fb28

12001113013032 has 1152 divisors, whose sum is σ = 42425117280000. Its totient is φ = 3007363645440.

The previous prime is 12001113013031. The next prime is 12001113013033. The reversal of 12001113013032 is 23031031110021.

It is an interprime number because it is at equal distance from previous prime (12001113013031) and next prime (12001113013033).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12001113012996 and 12001113013014.

It is not an unprimeable number, because it can be changed into a prime (12001113013031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 60307100469 + ... + 60307100667.

It is an arithmetic number, because the mean of its divisors is an integer number (36827358750).

Almost surely, 212001113013032 is an apocalyptic number.

12001113013032 is a gapful number since it is divisible by the number (12) 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 12001113013032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21212558640000).

12001113013032 is an abundant number, since it is smaller than the sum of its proper divisors (30424004266968).

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

12001113013032 is a wasteful number, since it uses less digits than its factorization.

12001113013032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12001113013032 its reverse (23031031110021), we get a palindrome (35032144123053).

The spelling of 12001113013032 in words is "twelve trillion, one billion, one hundred thirteen million, thirteen thousand, thirty-two".