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12001113310032 = 24327113832825983
BaseRepresentation
bin1010111010100011101000…
…0110001000001101010000
31120111021222012222010001100
42232220322012020031100
53033111240001410112
641305122500104400
72346023530002240
oct256507206101520
946437865863040
1012001113310032
113907709660140
121419a90695100
13690914250912
142d6bdd7c3b20
1515c29aa352dc
hexaea3a188350

12001113310032 has 240 divisors, whose sum is σ = 41983360892928. Its totient is φ = 3109032357120.

The previous prime is 12001113310009. The next prime is 12001113310171. The reversal of 12001113310032 is 23001331110021.

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 = 12001113309987 and 12001113310014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2833713 + ... + 5659695.

Almost surely, 212001113310032 is an apocalyptic number.

12001113310032 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 12001113310032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20991680446464).

12001113310032 is an abundant number, since it is smaller than the sum of its proper divisors (29982247582896).

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

12001113310032 is a wasteful number, since it uses less digits than its factorization.

12001113310032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2826398 (or 2826389 counting only the distinct ones).

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

Adding to 12001113310032 its reverse (23001331110021), we get a palindrome (35002444420053).

The spelling of 12001113310032 in words is "twelve trillion, one billion, one hundred thirteen million, three hundred ten thousand, thirty-two".