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12001031420 = 2257618316931
BaseRepresentation
bin10110010110101000…
…10011010011111100
31010222101001120012012
423023110103103330
5144034231001140
65302503430352
7603253040540
oct131324232374
933871046165
1012001031420
1150a92a6594
1223ab1553b8
131193436131
1481bc09a20
154a38c6265
hex2cb5134fc

12001031420 has 96 divisors (see below), whose sum is σ = 29629103616. Its totient is φ = 3998188800.

The previous prime is 12001031369. The next prime is 12001031453. The reversal of 12001031420 is 2413010021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 12001031395 and 12001031404.

It is a congruent number.

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, 700355 + ... + 717285.

It is an arithmetic number, because the mean of its divisors is an integer number (308636496).

Almost surely, 212001031420 is an apocalyptic number.

12001031420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001031420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14814551808).

12001031420 is an abundant number, since it is smaller than the sum of its proper divisors (17628072196).

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

12001031420 is a wasteful number, since it uses less digits than its factorization.

12001031420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17091 (or 17089 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12001031420 its reverse (2413010021), we get a palindrome (14414041441).

The spelling of 12001031420 in words is "twelve billion, one million, thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 83 122 140 166 244 305 332 415 427 581 610 830 854 1162 1220 1660 1708 2135 2324 2905 4270 5063 5810 8540 10126 11620 16931 20252 25315 33862 35441 50630 67724 70882 84655 101260 118517 141764 169310 177205 237034 338620 354410 474068 592585 708820 1032791 1185170 1405273 2065582 2370340 2810546 4131164 5163955 5621092 7026365 7229537 9836911 10327910 14052730 14459074 19673822 20655820 28105460 28918148 36147685 39347644 49184555 72295370 85721653 98369110 144590740 171443306 196738220 342886612 428608265 600051571 857216530 1200103142 1714433060 2400206284 3000257855 6000515710 12001031420