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201220122200020 = 225711773169032881
BaseRepresentation
bin101101110000001000110101…
…111001111100011111010100
3222101110110022021210211201021
4231300020311321330133110
5202333242302240400040
61551543125322410524
760245450132020660
oct5560106571743724
9871413267724637
10201220122200020
1159129a7a203110
121a699983960a44
138837c8c668901
14379916a7638a0
15183e2e55d324a
hexb70235e7c7d4

201220122200020 has 96 divisors (see below), whose sum is σ = 527512409093376. Its totient is φ = 62636824012800.

The previous prime is 201220122199961. The next prime is 201220122200029. The reversal of 201220122200020 is 20002221022102.

It is a junction number, because it is equal to n+sod(n) for n = 201220122199967 and 201220122200003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201220122200029) 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, 83326021 + ... + 85706860.

It is an arithmetic number, because the mean of its divisors is an integer number (5494920928056).

Almost surely, 2201220122200020 is an apocalyptic number.

201220122200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201220122200020 is an abundant number, since it is smaller than the sum of its proper divisors (326292286893356).

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

201220122200020 is a wasteful number, since it uses less digits than its factorization.

201220122200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169033681 (or 169033679 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 201220122200020 its reverse (20002221022102), we get a palindrome (221222343222122).

The spelling of 201220122200020 in words is "two hundred one trillion, two hundred twenty billion, one hundred twenty-two million, two hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 773 1540 1546 3092 3865 5411 7730 8503 10822 15460 17006 21644 27055 34012 42515 54110 59521 85030 108220 119042 170060 238084 297605 595210 1190420 169032881 338065762 676131524 845164405 1183230167 1690328810 1859361691 2366460334 3380657620 3718723382 4732920668 5916150835 7437446764 9296808455 11832301670 13015531837 18593616910 23664603340 26031063674 37187233820 52062127348 65077659185 130155318370 130662417013 260310636740 261324834026 522649668052 653312085065 914636919091 1306624170130 1437286587143 1829273838182 2613248340260 2874573174286 3658547676364 4573184595455 5749146348572 7186432935715 9146369190910 10061006110001 14372865871430 18292738381820 20122012220002 28745731742860 40244024440004 50305030550005 100610061100010 201220122200020