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120101111212122 = 23237180331998817
BaseRepresentation
bin11011010011101100111000…
…000100100010100001011010
3120202020112221221100210122200
4123103230320010202201122
5111220214033432241442
61103233404441031030
734204006332254145
oct3323547004424132
9522215857323580
10120101111212122
11352a4660282437
1211578497185476
135202642214581
142192cd390b05c
15dd418b1dd34c
hex6d3b3812285a

120101111212122 has 24 divisors (see below), whose sum is σ = 267252022248276. Its totient is φ = 38951711744256.

The previous prime is 120101111212111. The next prime is 120101111212123. The reversal of 120101111212122 is 221212111101021.

It is a happy number.

120101111212122 is a `hidden beast` number, since 120 + 101 + 111 + 212 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 116658598341321 + 3442512870801 = 10800861^2 + 1855401^2 .

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 = 120101111212095 and 120101111212104.

It is not an unprimeable number, because it can be changed into a prime (120101111212123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90165998743 + ... + 90166000074.

Almost surely, 2120101111212122 is an apocalyptic number.

120101111212122 is an abundant number, since it is smaller than the sum of its proper divisors (147150911036154).

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

120101111212122 is a wasteful number, since it uses less digits than its factorization.

120101111212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180331998862 (or 180331998859 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 120101111212122 its reverse (221212111101021), we get a palindrome (341313222313143).

The spelling of 120101111212122 in words is "one hundred twenty trillion, one hundred one billion, one hundred eleven million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 180331998817 360663997634 540995996451 1081991992902 1622987989353 3245975978706 6672283956229 13344567912458 20016851868687 40033703737374 60050555606061 120101111212122