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201121221222020 = 2251110122739873833
BaseRepresentation
bin101101101110101100101110…
…111100101001111010000100
3222101010000000201011121020002
4231232230232330221322010
5202330132230113101040
61551425451415300432
760235346231413151
oct5556545674517204
9871100021147202
10201121221222020
11590a1038184560
121a68278207a718
13882b85a756958
143794467669228
15183b957ad9a15
hexb6eb2ef29e84

201121221222020 has 96 divisors (see below), whose sum is σ = 467362165286016. Its totient is φ = 72091888256000.

The previous prime is 201121221221989. The next prime is 201121221222023. The reversal of 201121221222020 is 20222122121102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 201121221221983 and 201121221222001.

It is not an unprimeable number, because it can be changed into a prime (201121221222023) 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, 14892977 + ... + 24980856.

It is an arithmetic number, because the mean of its divisors is an integer number (4868355888396).

Almost surely, 2201121221222020 is an apocalyptic number.

201121221222020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201121221222020 is an abundant number, since it is smaller than the sum of its proper divisors (266240944063996).

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

201121221222020 is a wasteful number, since it uses less digits than its factorization.

201121221222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39874181 (or 39874179 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 201121221222020 its reverse (20222122121102), we get a palindrome (221343343343122).

It can be divided in two parts, 2011212 and 21222020, that added together give a palindrome (23233232).

The spelling of 201121221222020 in words is "two hundred one trillion, one hundred twenty-one billion, two hundred twenty-one million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 227 404 454 505 908 1010 1111 1135 2020 2222 2270 2497 4444 4540 4994 5555 9988 11110 12485 22220 22927 24970 45854 49940 91708 114635 229270 252197 458540 504394 1008788 1260985 2521970 5043940 39873833 79747666 159495332 199369165 398738330 438612163 797476660 877224326 1754448652 2193060815 4027257133 4386121630 8054514266 8772243260 9051360091 16109028532 18102720182 20136285665 36205440364 40272571330 44299828463 45256800455 80545142660 88599656926 90513600910 99564961001 177199313852 181027201820 199129922002 221499142315 398259844004 442998284630 497824805005 885996569260 914187369191 995649610010 1828374738382 1991299220020 3656749476764 4570936845955 9141873691910 10056061061101 18283747383820 20112122122202 40224244244404 50280305305505 100560610611010 201121221222020