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12021214320 = 243355565377
BaseRepresentation
bin10110011001000010…
…10010110001110000
31011000210000221221000
423030201102301300
5144104412324240
65304504202000
7603616431033
oct131441226160
934023027830
1012021214320
115109731275
1223b5a69300
13119768188b
1482078101a
154a5561430
hex2cc852c70

12021214320 has 80 divisors (see below), whose sum is σ = 41406412320. Its totient is φ = 3205656576.

The previous prime is 12021214277. The next prime is 12021214333. The reversal of 12021214320 is 2341212021.

It is a happy number.

12021214320 is a `hidden beast` number, since 1 + 20 + 212 + 1 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 12021214293 and 12021214302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2780529 + ... + 2784848.

It is an arithmetic number, because the mean of its divisors is an integer number (517580154).

Almost surely, 212021214320 is an apocalyptic number.

12021214320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021214320 is an abundant number, since it is smaller than the sum of its proper divisors (29385198000).

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

12021214320 is a wasteful number, since it uses less digits than its factorization.

12021214320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5565399 (or 5565387 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12021214320 its reverse (2341212021), we get a palindrome (14362426341).

The spelling of 12021214320 in words is "twelve billion, twenty-one million, two hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 5565377 11130754 16696131 22261508 27826885 33392262 44523016 50088393 55653770 66784524 83480655 89046032 100176786 111307540 133569048 150265179 166961310 200353572 222615080 250441965 267138096 300530358 333922620 400707144 445230160 500883930 601060716 667845240 751325895 801414288 1001767860 1202121432 1335690480 1502651790 2003535720 2404242864 3005303580 4007071440 6010607160 12021214320