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20121111122 = 2729101541907
BaseRepresentation
bin10010101111010011…
…111100101001010010
31220221021102100110212
4102233103330221102
5312202001023442
613124333124122
71311422423360
oct225723745122
956837370425
1020121111122
11859592a662
123a96629642
131b88800518
14d8c410630
157cb6e0a82
hex4af4fca52

20121111122 has 64 divisors (see below), whose sum is σ = 36142467840. Its totient is φ = 8219232000.

The previous prime is 20121111121. The next prime is 20121111133. The reversal of 20121111122 is 22111112102.

It is a super-2 number, since 2×201211111222 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20121111097 and 20121111106.

It is not an unprimeable number, because it can be changed into a prime (20121111121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22183793 + ... + 22184699.

It is an arithmetic number, because the mean of its divisors is an integer number (564726060).

Almost surely, 220121111122 is an apocalyptic number.

20121111122 is a deficient number, since it is larger than the sum of its proper divisors (16021356718).

20121111122 is a wasteful number, since it uses less digits than its factorization.

20121111122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 20121111122 its reverse (22111112102), we get a palindrome (42232223224).

The spelling of 20121111122 in words is "twenty billion, one hundred twenty-one million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 7 14 29 58 101 202 203 406 541 707 907 1082 1414 1814 2929 3787 5858 6349 7574 12698 15689 20503 26303 31378 41006 52606 54641 91607 109282 109823 183214 184121 219646 368242 382487 490687 641249 764974 981374 1282498 1584589 2656603 3169178 3434809 5313206 6869618 11092123 14229923 18596221 22184246 28459846 37192442 49559387 99118774 99609461 199218922 346915709 693831418 1437222223 2874444446 10060555561 20121111122