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12201144432 = 243991256499
BaseRepresentation
bin10110101110011111…
…01011000001110000
31011111022121100122020
423113033223001300
5144441443110212
65334412511440
7611233005441
oct132717530160
934438540566
1012201144432
1151a1256444
12244617b580
1311c5a2c9b9
1483a61b2c8
154b6253d8c
hex2d73eb070

12201144432 has 40 divisors (see below), whose sum is σ = 31551552000. Its totient is φ = 4062928320.

The previous prime is 12201144413. The next prime is 12201144497. The reversal of 12201144432 is 23444110221.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80682 + ... + 175817.

It is an arithmetic number, because the mean of its divisors is an integer number (788788800).

Almost surely, 212201144432 is an apocalyptic number.

12201144432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12201144432 is an abundant number, since it is smaller than the sum of its proper divisors (19350407568).

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

12201144432 is a wasteful number, since it uses less digits than its factorization.

12201144432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257501 (or 257495 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12201144432 its reverse (23444110221), we get a palindrome (35645254653).

The spelling of 12201144432 in words is "twelve billion, two hundred one million, one hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 991 1982 2973 3964 5946 7928 11892 15856 23784 47568 256499 512998 769497 1025996 1538994 2051992 3077988 4103984 6155976 12311952 254190509 508381018 762571527 1016762036 1525143054 2033524072 3050286108 4067048144 6100572216 12201144432