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120111021121221 = 3313260143798367
BaseRepresentation
bin11011010011110110000110…
…101111110101111011000101
3120202021111112120121100022000
4123103312012233311323011
5111220344332401334341
61103242124044455513
734204510034144334
oct3323660657657305
9522244476540260
10120111021121221
11352a8886153859
121157a3a1b4a599
13520356134a600
142193593adbd1b
15dd456b2028b6
hex6d3d86bf5ec5

120111021121221 has 48 divisors (see below), whose sum is σ = 193003640363520. Its totient is φ = 73791487036800.

The previous prime is 120111021121211. The next prime is 120111021121253. The reversal of 120111021121221 is 122121120111021.

It is a happy number.

120111021121221 is a `hidden beast` number, since 1 + 201 + 1 + 10 + 211 + 21 + 221 = 666.

It is not a de Polignac number, because 120111021121221 - 219 = 120111020596933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120111021121194 and 120111021121203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120111021121211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19156821 + ... + 24641546.

It is an arithmetic number, because the mean of its divisors is an integer number (4020909174240).

Almost surely, 2120111021121221 is an apocalyptic number.

It is an amenable number.

120111021121221 is a deficient number, since it is larger than the sum of its proper divisors (72892619242299).

120111021121221 is a wasteful number, since it uses less digits than its factorization.

120111021121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43799003 (or 43798984 counting only the distinct ones).

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

Adding to 120111021121221 its reverse (122121120111021), we get a palindrome (242232141232242).

The spelling of 120111021121221 in words is "one hundred twenty trillion, one hundred eleven billion, twenty-one million, one hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 13 27 39 117 169 351 507 601 1521 1803 4563 5409 7813 16227 23439 70317 101569 210951 304707 914121 2742363 43798367 131395101 394185303 569378771 1182555909 1708136313 5124408939 7401924023 15373226817 22205772069 26322818567 66617316207 78968455701 199851948621 236905367103 342196641371 710716101309 1026589924113 3079769772339 4448556337823 9239309317017 13345669013469 40037007040407 120111021121221