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12221000080 = 245732092637
BaseRepresentation
bin10110110000110110…
…11010100110010000
31011112200222010110121
423120123122212100
5200012034000310
65340402240024
7611563533562
oct133033324620
934480863417
1012221000080
115201488273
122450956014
1311c9b924c3
1483d109332
154b7d770da
hex2d86da990

12221000080 has 40 divisors (see below), whose sum is σ = 28803069432. Its totient is φ = 4821433344.

The previous prime is 12221000053. The next prime is 12221000081. The reversal of 12221000080 is 8000012221.

It can be written as a sum of positive squares in 4 ways, for example, as 1024144 + 12219975936 = 1012^2 + 110544^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12221000081) 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, 1040479 + ... + 1052158.

Almost surely, 212221000080 is an apocalyptic number.

12221000080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221000080 is an abundant number, since it is smaller than the sum of its proper divisors (16582069352).

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

12221000080 is a wasteful number, since it uses less digits than its factorization.

12221000080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092723 (or 2092717 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The spelling of 12221000080 in words is "twelve billion, two hundred twenty-one million, eighty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 2092637 4185274 8370548 10463185 16741096 20926370 33482192 41852740 83705480 152762501 167410960 305525002 611050004 763812505 1222100008 1527625010 2444200016 3055250020 6110500040 12221000080