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20012122000 = 245313799743
BaseRepresentation
bin10010101000110100…
…001011111110010000
31220122200100010111201
4102220310023332100
5311441100401000
613105441120544
71305630142003
oct225064137620
956580303451
1020012122000
11853a359502
123a66029154
131b6c060310
14d7bb5d53a
157c1d6296a
hex4a8d0bf90

20012122000 has 160 divisors (see below), whose sum is σ = 52776622080. Its totient is φ = 7294809600.

The previous prime is 20012121979. The next prime is 20012122007. The reversal of 20012122000 is 22121002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (20012122007) 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, 2049129 + ... + 2058871.

It is an arithmetic number, because the mean of its divisors is an integer number (329853888).

Almost surely, 220012122000 is an apocalyptic number.

20012122000 is a gapful number since it is divisible by the number (20) 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 20012122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26388311040).

20012122000 is an abundant number, since it is smaller than the sum of its proper divisors (32764500080).

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

20012122000 is a wasteful number, since it uses less digits than its factorization.

20012122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9858 (or 9842 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20012122000 its reverse (22121002), we get a palindrome (20034243002).

The spelling of 20012122000 in words is "twenty billion, twelve million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 79 80 100 104 125 130 158 200 208 250 260 316 325 395 400 500 520 632 650 790 1000 1027 1040 1264 1300 1580 1625 1975 2000 2054 2600 3160 3250 3950 4108 5135 5200 6320 6500 7900 8216 9743 9875 10270 13000 15800 16432 19486 19750 20540 25675 26000 31600 38972 39500 41080 48715 51350 77944 79000 82160 97430 102700 126659 128375 155888 158000 194860 205400 243575 253318 256750 389720 410800 487150 506636 513500 633295 769697 779440 974300 1013272 1027000 1217875 1266590 1539394 1948600 2026544 2054000 2435750 2533180 3078788 3166475 3848485 3897200 4871500 5066360 6157576 6332950 7696970 9743000 10006061 10132720 12315152 12665900 15393940 15832375 19242425 19486000 20012122 25331800 30787880 31664750 38484850 40024244 50030305 50663600 61575760 63329500 76969700 80048488 96212125 100060610 126659000 153939400 160096976 192424250 200121220 250151525 253318000 307878800 384848500 400242440 500303050 769697000 800484880 1000606100 1250757625 1539394000 2001212200 2501515250 4002424400 5003030500 10006061000 20012122000