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201201120021220 = 2251131320631416329
BaseRepresentation
bin101101101111110111001001…
…010010011000101011100100
3222101101122020222212010211021
4231233313021102120223210
5202332434343211134340
61551530304000020524
760244205214121534
oct5557671122305344
9871348228763737
10201201120021220
1159121a08a49a10
121a696160001744
138836251917527
143798286bbd4c4
15183da82267e4a
hexb6fdc9498ae4

201201120021220 has 96 divisors (see below), whose sum is σ = 462630575070720. Its totient is φ = 72894889666560.

The previous prime is 201201120021217. The next prime is 201201120021227. The reversal of 201201120021220 is 22120021102102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201201120021194 and 201201120021203.

It is not an unprimeable number, because it can be changed into a prime (201201120021227) 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, 141350016 + ... + 142766344.

It is an arithmetic number, because the mean of its divisors is an integer number (4819068490320).

Almost surely, 2201201120021220 is an apocalyptic number.

201201120021220 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 201201120021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231315287535360).

201201120021220 is an abundant number, since it is smaller than the sum of its proper divisors (261429455049500).

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

201201120021220 is a wasteful number, since it uses less digits than its factorization.

201201120021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418725 (or 1418723 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201201120021220 its reverse (22120021102102), we get a palindrome (223321141123322).

The spelling of 201201120021220 in words is "two hundred one trillion, two hundred one billion, one hundred twenty million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 313 626 1252 1565 2063 3130 3443 4126 6260 6886 8252 10315 13772 17215 20630 22693 34430 41260 45386 68860 90772 113465 226930 453860 645719 1291438 1416329 2582876 2832658 3228595 5665316 6457190 7081645 7102909 12914380 14163290 14205818 15579619 28326580 28411636 31159238 35514545 62318476 71029090 77898095 142058180 155796190 311592380 443310977 886621954 1773243908 2216554885 2921886727 4433109770 4876420747 5843773454 8866219540 9752841494 11687546908 14609433635 19505682988 24382103735 29218867270 32140753997 48764207470 58437734540 64281507994 97528414940 128563015988 160703769985 321407539970 642815079940 914550545551 1829101091102 3658202182204 4572752727755 9145505455510 10060056001061 18291010911020 20120112002122 40240224004244 50300280005305 100600560010610 201201120021220