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120120012022142 = 211172316018722171
BaseRepresentation
bin11011010011111110011110…
…101001011010000101111110
3120202022100202011120102201102
4123103332132221122011332
5111221021241034202032
61103250212143013102
734205245606430426
oct3323763651320576
9522270664512642
10120120012022142
113530167a29a790
1211580090b9a192
135204364c63122
142193ba7c25486
15dd48e56d3362
hex6d3f9ea5a17e

120120012022142 has 64 divisors (see below), whose sum is σ = 217306844748288. Its totient is φ = 49123261440000.

The previous prime is 120120012022141. The next prime is 120120012022151. The reversal of 120120012022142 is 241220210021021.

It is a happy number.

It is a super-2 number, since 2×1201200120221422 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120120012022141) 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 31 ways as a sum of consecutive naturals, for example, 9410717 + ... + 18132887.

It is an arithmetic number, because the mean of its divisors is an integer number (3395419449192).

Almost surely, 2120120012022142 is an apocalyptic number.

120120012022142 is a deficient number, since it is larger than the sum of its proper divisors (97186832726146).

120120012022142 is a wasteful number, since it uses less digits than its factorization.

120120012022142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8723825.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 120120012022142 its reverse (241220210021021), we get a palindrome (361340222043163).

The spelling of 120120012022142 in words is "one hundred twenty trillion, one hundred twenty billion, twelve million, twenty-two thousand, one hundred forty-two".

Divisors: 1 2 11 17 22 23 34 46 187 253 374 391 506 782 1601 3202 4301 8602 17611 27217 35222 36823 54434 73646 299387 405053 598774 625991 810106 1251982 6885901 8722171 13771802 17444342 95943881 148276907 191887762 200609933 296553814 401219866 1631045977 2206709263 3262091954 3410368861 4413418526 6820737722 13964195771 27928391542 37514057471 75028114942 153606153481 237391328107 307212306962 321176502733 474782656214 642353005466 2611304609177 3532941530063 5222609218354 5460000546461 7065883060126 10920001092922 60060006011071 120120012022142