Search a number
-
+
120073426573212 = 223371019155865833
BaseRepresentation
bin11011010011010011000101…
…111100000001011110011100
3120202010220111112211102121000
4123103103011330001132130
5111214240334200320322
61103212545355110300
734202006305565160
oct3323230574013634
9522126445742530
10120073426573212
1135293943aa1472
121157304b742390
1351ccb4c742428
142191828bacca0
15dd35ba9bc3ac
hex6d34c5f0179c

120073426573212 has 96 divisors (see below), whose sum is σ = 356122257523200. Its totient is φ = 34273026066816.

The previous prime is 120073426573117. The next prime is 120073426573229. The reversal of 120073426573212 is 212375624370021.

120073426573212 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 7 + 3 + 426 + 5 + 7 + 3 + 212 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77162553 + ... + 78703280.

It is an arithmetic number, because the mean of its divisors is an integer number (3709606849200).

Almost surely, 2120073426573212 is an apocalyptic number.

120073426573212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120073426573212 is an abundant number, since it is smaller than the sum of its proper divisors (236048830949988).

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

120073426573212 is a wasteful number, since it uses less digits than its factorization.

120073426573212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155866872 (or 155866864 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 120073426573212 in words is "one hundred twenty trillion, seventy-three billion, four hundred twenty-six million, five hundred seventy-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1019 2038 3057 4076 6114 7133 9171 12228 14266 18342 21399 27513 28532 36684 42798 55026 64197 85596 110052 128394 192591 256788 385182 770364 155865833 311731666 467597499 623463332 935194998 1091060831 1402792497 1870389996 2182121662 2805584994 3273182493 4208377491 4364243324 5611169988 6546364986 8416754982 9819547479 13092729972 16833509964 19639094958 29458642437 39278189916 58917284874 117834569748 158827283827 317654567654 476481851481 635309135308 952963702962 1111790986789 1429445554443 1905927405924 2223581973578 2858891108886 3335372960367 4288336663329 4447163947156 5717782217772 6670745920734 8576673326658 10006118881101 13341491841468 17153346653316 20012237762202 30018356643303 40024475524404 60036713286606 120073426573212