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12032232121032 = 233647774873269
BaseRepresentation
bin1010111100010111100011…
…1010111110001011001000
31120121021021221111111120220
42233011320322332023020
53034114002410333112
641331310420150040
72351204633351604
oct257057072761310
946537257444526
1012032232121032
113919928397462
121423b16238320
13693833351856
142d8512666504
1515cebc9ad98c
hexaf178ebe2c8

12032232121032 has 32 divisors (see below), whose sum is σ = 30127072737600. Its totient is φ = 4004545049024.

The previous prime is 12032232121031. The next prime is 12032232121073. The reversal of 12032232121032 is 23012123223021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12032232120993 and 12032232121011.

It is not an unprimeable number, because it can be changed into a prime (12032232121031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 387421107 + ... + 387452162.

It is an arithmetic number, because the mean of its divisors is an integer number (941471023050).

Almost surely, 212032232121032 is an apocalyptic number.

12032232121032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12032232121032 is an abundant number, since it is smaller than the sum of its proper divisors (18094840616568).

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

12032232121032 is a wasteful number, since it uses less digits than its factorization.

12032232121032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774873925 (or 774873921 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12032232121032 its reverse (23012123223021), we get a palindrome (35044355344053).

The spelling of 12032232121032 in words is "twelve trillion, thirty-two billion, two hundred thirty-two million, one hundred twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 647 1294 1941 2588 3882 5176 7764 15528 774873269 1549746538 2324619807 3099493076 4649239614 6198986152 9298479228 18596958456 501343005043 1002686010086 1504029015129 2005372020172 3008058030258 4010744040344 6016116060516 12032232121032