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20121200221001 = 1131145940443079
BaseRepresentation
bin1001001001100110101001…
…11111011101101101001001
32122020120100001001122211212
410210303110333131231021
510114131204224033001
6110443315103302505
74144465045632605
oct444632477355511
978216301048755
1020121200221001
116458397a69a40
12230b7592aaa35
13b2c56203c039
144d7c2ab50505
1524d5ea3bc7bb
hex124cd4fddb49

20121200221001 has 16 divisors (see below), whose sum is σ = 22674008371200. Its totient is φ = 17689802317200.

The previous prime is 20121200220997. The next prime is 20121200221033. The reversal of 20121200221001 is 10012200212102.

It is a cyclic number.

It is not a de Polignac number, because 20121200221001 - 22 = 20121200220997 is a prime.

It is a super-2 number, since 2×201212002210012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20121200221081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19724021 + ... + 20719058.

It is an arithmetic number, because the mean of its divisors is an integer number (1417125523200).

Almost surely, 220121200221001 is an apocalyptic number.

It is an amenable number.

20121200221001 is a deficient number, since it is larger than the sum of its proper divisors (2552808150199).

20121200221001 is a wasteful number, since it uses less digits than its factorization.

20121200221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40444580.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20121200221001 its reverse (10012200212102), we get a palindrome (30133400433103).

The spelling of 20121200221001 in words is "twenty trillion, one hundred twenty-one billion, two hundred million, two hundred twenty-one thousand, one".

Divisors: 1 11 31 341 1459 16049 45229 497519 40443079 444873869 1253735449 13791089939 59006452261 649070974871 1829200020091 20121200221001