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12004331020 = 225111492511459
BaseRepresentation
bin10110010111000001…
…11000111000001100
31010222121021012101121
423023200320320030
5144041102043040
65303102250324
7603323062423
oct131340707014
933877235347
1012004331020
11510014a630
1223b02869a4
13119401cc66
1481c4282ba
154a3d28c4a
hex2cb838e0c

12004331020 has 96 divisors (see below), whose sum is σ = 27814752000. Its totient is φ = 4315680000.

The previous prime is 12004331011. The next prime is 12004331039. The reversal of 12004331020 is 2013340021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12004330985 and 12004331003.

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, 8227051 + ... + 8228509.

It is an arithmetic number, because the mean of its divisors is an integer number (289737000).

Almost surely, 212004331020 is an apocalyptic number.

12004331020 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 12004331020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13907376000).

12004331020 is an abundant number, since it is smaller than the sum of its proper divisors (15810420980).

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

12004331020 is a wasteful number, since it uses less digits than its factorization.

12004331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12004331020 its reverse (2013340021), we get a palindrome (14017671041).

Subtracting from 12004331020 its reverse (2013340021), we obtain a palindrome (9990990999).

The spelling of 12004331020 in words is "twelve billion, four million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 149 220 251 298 502 596 745 1004 1255 1459 1490 1639 2510 2761 2918 2980 3278 5020 5522 5836 6556 7295 8195 11044 13805 14590 16049 16390 27610 29180 32098 32780 37399 55220 64196 74798 80245 149596 160490 186995 217391 320980 366209 373990 411389 434782 732418 747980 822778 869564 1086955 1464836 1645556 1831045 2056945 2173910 2391301 3662090 4028299 4113890 4347820 4782602 7324180 8056598 8227780 9565204 11956505 16113196 20141495 23913010 40282990 47826020 54565141 80565980 109130282 218260564 272825705 545651410 600216551 1091302820 1200433102 2400866204 3001082755 6002165510 12004331020