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12020112120 = 23351921372467
BaseRepresentation
bin10110011000111010…
…00101101011111000
31011000200221221222210
423030131011223320
5144104122041440
65304424415120
7603604160442
oct131435055370
934020857883
1012020112120
115109049165
1223b56174a0
131197386ca3
14820575492
154a53e4a80
hex2cc745af8

12020112120 has 128 divisors (see below), whose sum is σ = 37991404800. Its totient is φ = 3034008576.

The previous prime is 12020112109. The next prime is 12020112121. The reversal of 12020112120 is 2121102021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12020112096 and 12020112105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12020112121) 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, 4871127 + ... + 4873593.

It is an arithmetic number, because the mean of its divisors is an integer number (296807850).

Almost surely, 212020112120 is an apocalyptic number.

12020112120 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 12020112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18995702400).

12020112120 is an abundant number, since it is smaller than the sum of its proper divisors (25971292680).

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

12020112120 is a wasteful number, since it uses less digits than its factorization.

12020112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4637 (or 4633 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12020112120 its reverse (2121102021), we get a palindrome (14141214141).

The spelling of 12020112120 in words is "twelve billion, twenty million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2137 2280 2467 4274 4934 6411 7401 8548 9868 10685 12335 12822 14802 17096 19736 21370 24670 25644 29604 32055 37005 40603 42740 46873 49340 51288 59208 64110 74010 81206 85480 93746 98680 121809 128220 140619 148020 162412 187492 203015 234365 243618 256440 281238 296040 324824 374984 406030 468730 487236 562476 609045 703095 812060 937460 974472 1124952 1218090 1406190 1624120 1874920 2436180 2812380 4872360 5271979 5624760 10543958 15815937 21087916 26359895 31631874 42175832 52719790 63263748 79079685 100167601 105439580 126527496 158159370 200335202 210879160 300502803 316318740 400670404 500838005 601005606 632637480 801340808 1001676010 1202011212 1502514015 2003352020 2404022424 3005028030 4006704040 6010056060 12020112120