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12021231120 = 2435596712671
BaseRepresentation
bin10110011001000010…
…10110111000010000
31011000210001210222020
423030201112320100
5144104413343440
65304504411440
7603616531023
oct131441267020
934023053866
1012021231120
115109742958
1223b5a76b80
131197689412
148207871ba
154a55663d0
hex2cc856e10

12021231120 has 160 divisors (see below), whose sum is σ = 38466109440. Its totient is φ = 3104048640.

The previous prime is 12021231109. The next prime is 12021231121. The reversal of 12021231120 is 2113212021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12021231120.

It is not an unprimeable number, because it can be changed into a prime (12021231121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 942385 + ... + 955055.

It is an arithmetic number, because the mean of its divisors is an integer number (240413184).

Almost surely, 212021231120 is an apocalyptic number.

12021231120 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 12021231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19233054720).

12021231120 is an abundant number, since it is smaller than the sum of its proper divisors (26444878320).

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

12021231120 is a wasteful number, since it uses less digits than its factorization.

12021231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12813 (or 12807 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12021231120 its reverse (2113212021), we get a palindrome (14134443141).

The spelling of 12021231120 in words is "twelve billion, twenty-one million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 67 80 118 120 134 177 201 236 240 268 295 335 354 402 472 536 590 670 708 804 885 944 1005 1072 1180 1340 1416 1608 1770 2010 2360 2680 2832 3216 3540 3953 4020 4720 5360 7080 7906 8040 11859 12671 14160 15812 16080 19765 23718 25342 31624 38013 39530 47436 50684 59295 63248 63355 76026 79060 94872 101368 118590 126710 152052 158120 189744 190065 202736 237180 253420 304104 316240 380130 474360 506840 608208 747589 760260 848957 948720 1013680 1495178 1520520 1697914 2242767 2546871 2990356 3041040 3395828 3737945 4244785 4485534 5093742 5980712 6791656 7475890 8489570 8971068 10187484 11213835 11961424 12734355 13583312 14951780 16979140 17942136 20374968 22427670 25468710 29903560 33958280 35884272 40749936 44855340 50088463 50937420 59807120 67916560 89710680 100176926 101874840 150265389 179421360 200353852 203749680 250442315 300530778 400707704 500884630 601061556 751326945 801415408 1001769260 1202123112 1502653890 2003538520 2404246224 3005307780 4007077040 6010615560 12021231120