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12201114440 = 235317962233
BaseRepresentation
bin10110101110011111…
…00011101101001000
31011111022112211111102
423113033203231020
5144441441130230
65334412120532
7611232522134
oct132717435510
934438484442
1012201114440
1151a1235959
122446166148
1311c5a1c158
1483a6103c4
154b624a045
hex2d73e3b48

12201114440 has 32 divisors (see below), whose sum is σ = 27539137080. Its totient is φ = 4865044992.

The previous prime is 12201114433. The next prime is 12201114491. The reversal of 12201114440 is 4441110221.

It can be written as a sum of positive squares in 4 ways, for example, as 2785517284 + 9415597156 = 52778^2 + 97034^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 7 ways as a sum of consecutive naturals, for example, 468437 + ... + 493796.

Almost surely, 212201114440 is an apocalyptic number.

12201114440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201114440 is an abundant number, since it is smaller than the sum of its proper divisors (15338022640).

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

12201114440 is a wasteful number, since it uses less digits than its factorization.

12201114440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962561 (or 962557 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12201114440 its reverse (4441110221), we get a palindrome (16642224661).

The spelling of 12201114440 in words is "twelve billion, two hundred one million, one hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 317 634 1268 1585 2536 3170 6340 12680 962233 1924466 3848932 4811165 7697864 9622330 19244660 38489320 305027861 610055722 1220111444 1525139305 2440222888 3050278610 6100557220 12201114440