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221201211221122 = 211191410737512547
BaseRepresentation
bin110010010010111001101011…
…100111100110010010000010
31002000012121222201221002020011
4302102321223213212102002
5212443130040033033442
62102242233352535134
764410155136264406
oct6222715347462202
91060177881832204
10221201211221122
11645329a8037870
122098633a0b14aa
139657252a803b2
143c8a2a51bb106
151a88e40116117
hexc92e6b9e6482

221201211221122 has 32 divisors (see below), whose sum is σ = 381043459572480. Its totient is φ = 95247355297680.

The previous prime is 221201211220933. The next prime is 221201211221143. The reversal of 221201211221122 is 221122112102122.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 221201211221093 and 221201211221102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12859548 + ... + 24652999.

It is an arithmetic number, because the mean of its divisors is an integer number (11907608111640).

Almost surely, 2221201211221122 is an apocalyptic number.

221201211221122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221201211221122 is a deficient number, since it is larger than the sum of its proper divisors (159842248351358).

221201211221122 is a wasteful number, since it uses less digits than its factorization.

221201211221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37526686.

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 221201211221122 its reverse (221122112102122), we get a palindrome (442323323323244).

The spelling of 221201211221122 in words is "two hundred twenty-one trillion, two hundred one billion, two hundred eleven million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 11 19 22 38 209 418 14107 28214 155177 268033 310354 536066 2948363 5896726 37512547 75025094 412638017 712738393 825276034 1425476786 7840122323 15680244646 529189500529 1058379001058 5821084505819 10054600510051 11642169011638 20109201020102 110600605610561 221201211221122