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12020000100 = 22352237922051
BaseRepresentation
bin10110011000111001…
…01010010101100100
31011000200202021022220
423030130222111210
5144104110000400
65304422152340
7603603213033
oct131434522544
934020667286
1012020000100
115108a81a89
1223b55826b0
131197347cc4
1482054671a
154a53c17a0
hex2cc72a564

12020000100 has 144 divisors (see below), whose sum is σ = 36750981120. Its totient is φ = 3027024000.

The previous prime is 12020000087. The next prime is 12020000137. The reversal of 12020000100 is 100002021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 534075 + ... + 556125.

Almost surely, 212020000100 is an apocalyptic number.

12020000100 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 12020000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18375490560).

12020000100 is an abundant number, since it is smaller than the sum of its proper divisors (24730981020).

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

12020000100 is a wasteful number, since it uses less digits than its factorization.

12020000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22170 (or 22163 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 12020000100 its reverse (100002021), we get a palindrome (12120002121).

The spelling of 12020000100 in words is "twelve billion, twenty million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 79 92 100 115 138 150 158 230 237 276 300 316 345 395 460 474 575 690 790 948 1150 1185 1380 1580 1725 1817 1975 2300 2370 3450 3634 3950 4740 5451 5925 6900 7268 7900 9085 10902 11850 18170 21804 22051 23700 27255 36340 44102 45425 54510 66153 88204 90850 109020 110255 132306 136275 181700 220510 264612 272550 330765 441020 507173 545100 551275 661530 1014346 1102550 1323060 1521519 1653825 1742029 2028692 2205100 2535865 3043038 3307650 3484058 5071730 5226087 6086076 6615300 6968116 7607595 8710145 10143460 10452174 12679325 15215190 17420290 20904348 25358650 26130435 30430380 34840580 38037975 40066667 43550725 50717300 52260870 76075950 80133334 87101450 104521740 120200001 130652175 152151900 160266668 174202900 200333335 240400002 261304350 400666670 480800004 522608700 601000005 801333340 1001666675 1202000010 2003333350 2404000020 3005000025 4006666700 6010000050 12020000100