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220011200212122 = 232114127101650679
BaseRepresentation
bin110010000001100101011001…
…011011110110110010011010
31001211222212100211021021212100
4302001211121123312302122
5212314130414223241442
62055531430003024230
764225166432512164
oct6201453133666232
91054885324237770
10220011200212122
1164114253926540
122081378996b076
13959bc75ac9c67
143c4885558b934
151a67ee236184c
hexc819596f6c9a

220011200212122 has 48 divisors (see below), whose sum is σ = 532710045766080. Its totient is φ = 65043961627200.

The previous prime is 220011200212109. The next prime is 220011200212123. The reversal of 220011200212122 is 221212002110022.

It is a happy number.

220011200212122 is a `hidden beast` number, since 220 + 0 + 11 + 200 + 21 + 212 + 2 = 666.

220011200212122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220011200212095 and 220011200212104.

It is not an unprimeable number, because it can be changed into a prime (220011200212123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13550817222 + ... + 13550833457.

It is an arithmetic number, because the mean of its divisors is an integer number (11098125953460).

Almost surely, 2220011200212122 is an apocalyptic number.

220011200212122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

220011200212122 is an abundant number, since it is smaller than the sum of its proper divisors (312698845553958).

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

220011200212122 is a wasteful number, since it uses less digits than its factorization.

220011200212122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27101650739 (or 27101650736 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220011200212122 its reverse (221212002110022), we get a palindrome (441223202322144).

The spelling of 220011200212122 in words is "two hundred twenty trillion, eleven billion, two hundred million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 369 451 738 902 1353 2706 4059 8118 27101650679 54203301358 81304952037 162609904074 243914856111 298118157469 487829712222 596236314938 894354472407 1111167677839 1788708944814 2222335355678 2683063417221 3333503033517 5366126834442 6667006067034 10000509100551 12222844456229 20001018201102 24445688912458 36668533368687 73337066737374 110005600106061 220011200212122