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20211012001200 = 2435237455202973
BaseRepresentation
bin1001001100001101111100…
…01100001101110110110000
32122120011011011202210221110
410212012332030031312300
510122114123033014300
6110552451041353320
74154124501314436
oct446067614156660
978504134683843
1020211012001200
116492495413779
122325043038840
13b37b75b6cc47
144dc30aa54d56
15250b04e6a550
hex1261be30ddb0

20211012001200 has 120 divisors (see below), whose sum is σ = 66492408818128. Its totient is φ = 5243938237440.

The previous prime is 20211012001199. The next prime is 20211012001277. The reversal of 20211012001200 is 210021011202.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×202110120012002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227557087 + ... + 227645886.

Almost surely, 220211012001200 is an apocalyptic number.

20211012001200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20211012001200 is an abundant number, since it is smaller than the sum of its proper divisors (46281396816928).

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

20211012001200 is a wasteful number, since it uses less digits than its factorization.

20211012001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455203031 (or 455203020 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20211012001200 its reverse (210021011202), we get a palindrome (20421033012402).

The spelling of 20211012001200 in words is "twenty trillion, two hundred eleven billion, twelve million, one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 148 150 185 200 222 240 296 300 370 400 444 555 592 600 740 888 925 1110 1200 1480 1776 1850 2220 2775 2960 3700 4440 5550 7400 8880 11100 14800 22200 44400 455202973 910405946 1365608919 1820811892 2276014865 2731217838 3641623784 4552029730 5462435676 6828044595 7283247568 9104059460 10924871352 11380074325 13656089190 16842510001 18208118920 21849742704 22760148650 27312178380 33685020002 34140222975 36416237840 45520297300 50527530003 54624356760 67370040004 68280445950 84212550005 91040594600 101055060006 109248713520 134740080008 136560891900 168425100010 182081189200 202110120012 252637650015 269480160016 273121783800 336850200020 404220240024 421062750025 505275300030 546243567600 673700400040 808440480048 842125500050 1010550600060 1263188250075 1347400800080 1684251000100 2021101200120 2526376500150 3368502000200 4042202400240 5052753000300 6737004000400 10105506000600 20211012001200