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120112221021012 = 223311225144915399
BaseRepresentation
bin11011010011110111001110…
…010001000110001101010100
3120202021121122012102120101000
4123103313032101012031110
5111220404312040133022
61103242443110503300
734204551544134423
oct3323671621061524
9522247565376330
10120112221021012
11352a93414a1280
121157a677964b30
1352036c2b0829c
1421936692032ba
15dd45db71d6ac
hex6d3dce446354

120112221021012 has 96 divisors (see below), whose sum is σ = 339862255488000. Its totient is φ = 36381472380000.

The previous prime is 120112221021011. The next prime is 120112221021019. The reversal of 120112221021012 is 210120122211021.

120112221021012 is a `hidden beast` number, since 120 + 1 + 122 + 210 + 210 + 1 + 2 = 666.

120112221021012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120112221021011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19783512 + ... + 25131887.

It is an arithmetic number, because the mean of its divisors is an integer number (3540231828000).

Almost surely, 2120112221021012 is an apocalyptic number.

120112221021012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120112221021012 is an abundant number, since it is smaller than the sum of its proper divisors (219750034466988).

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

120112221021012 is a wasteful number, since it uses less digits than its factorization.

120112221021012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44917674 (or 44917666 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120112221021012 its reverse (210120122211021), we get a palindrome (330232343232033).

The spelling of 120112221021012 in words is "one hundred twenty trillion, one hundred twelve billion, two hundred twenty-one million, twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 2251 4502 6753 9004 13506 20259 24761 27012 40518 49522 60777 74283 81036 99044 121554 148566 222849 243108 297132 445698 668547 891396 1337094 2674188 44915399 89830798 134746197 179661596 269492394 404238591 494069389 538984788 808477182 988138778 1212715773 1482208167 1616954364 1976277556 2425431546 2964416334 4446624501 4850863092 5928832668 8893249002 13339873503 17786498004 26679747006 53359494012 101104563149 202209126298 303313689447 404418252596 606627378894 909941068341 1112150194639 1213254757788 1819882136682 2224300389278 2729823205023 3336450583917 3639764273364 4448600778556 5459646410046 6672901167834 10009351751751 10919292820092 13345802335668 20018703503502 30028055255253 40037407007004 60056110510506 120112221021012