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12023214216 = 233131071392591
BaseRepresentation
bin10110011001010001…
…11011000010001000
31011000220210120021020
423030220323002020
5144110420323331
65305015112440
7603642430446
oct131450730210
934026716236
1012023214216
11510a877882
1223b6672720
131197c01c50
14820b41b96
154a5808c96
hex2cca3b088

12023214216 has 128 divisors (see below), whose sum is σ = 32920473600. Its totient is φ = 3637105920.

The previous prime is 12023214209. The next prime is 12023214227. The reversal of 12023214216 is 61241232021.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4639081 + ... + 4641671.

It is an arithmetic number, because the mean of its divisors is an integer number (257191200).

Almost surely, 212023214216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12023214216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16460236800).

12023214216 is an abundant number, since it is smaller than the sum of its proper divisors (20897259384).

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

12023214216 is a wasteful number, since it uses less digits than its factorization.

12023214216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2859 (or 2855 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12023214216 its reverse (61241232021), we get a palindrome (73264446237).

The spelling of 12023214216 in words is "twelve billion, twenty-three million, two hundred fourteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 107 139 156 214 278 312 321 417 428 556 642 834 856 1112 1284 1391 1668 1807 2568 2591 2782 3336 3614 4173 5182 5421 5564 7228 7773 8346 10364 10842 11128 14456 14873 15546 16692 20728 21684 29746 31092 33384 33683 43368 44619 59492 62184 67366 89238 101049 118984 134732 178476 193349 202098 269464 277237 356952 360149 386698 404196 554474 580047 720298 773396 808392 831711 1080447 1108948 1160094 1440596 1546792 1663422 2160894 2217896 2320188 2881192 3326844 3604081 4321788 4640376 4681937 6653688 7208162 8643576 9363874 10812243 14045811 14416324 18727748 21624486 28091622 28832648 37455496 38535943 43248972 56183244 77071886 86497944 112366488 115607829 154143772 231215658 308287544 462431316 500967259 924862632 1001934518 1502901777 2003869036 3005803554 4007738072 6011607108 12023214216