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122122012101 = 3414727177951
BaseRepresentation
bin111000110111100001…
…0100000010111000101
3102200012220002222212020
41301233002200113011
54000101213341401
6132034014313353
711552203655415
oct1615702402705
9380186088766
10122122012101
1147878768231
121b8024b8859
13b692a1142b
145ca70c2645
15329b419d36
hex1c6f0a05c5

122122012101 has 32 divisors (see below), whose sum is σ = 170980540416. Its totient is φ = 77451120000.

The previous prime is 122122012093. The next prime is 122122012121. The reversal of 122122012101 is 101210221221.

It is not a de Polignac number, because 122122012101 - 23 = 122122012093 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122122012121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1527676 + ... + 1605626.

It is an arithmetic number, because the mean of its divisors is an integer number (5343141888).

Almost surely, 2122122012101 is an apocalyptic number.

It is an amenable number.

122122012101 is a deficient number, since it is larger than the sum of its proper divisors (48858528315).

122122012101 is a wasteful number, since it uses less digits than its factorization.

122122012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78313.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122122012101 its reverse (101210221221), we get a palindrome (223332233322).

It can be divided in two parts, 1221220 and 12101, that added together give a palindrome (1233321).

The spelling of 122122012101 in words is "one hundred twenty-two billion, one hundred twenty-two million, twelve thousand, one hundred one".

Divisors: 1 3 41 47 123 141 271 813 1927 5781 11111 12737 33333 38211 77951 233853 522217 1566651 3195991 3663697 9587973 10991091 21124721 63374163 150211577 450634731 866113561 992861887 2598340683 2978585661 40707337367 122122012101