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120612657444344 = 23132223457875377
BaseRepresentation
bin11011011011001001010010…
…100110100011010111111000
3120211001110100110211212212122
4123123021102212203113320
5111302104210301204334
61104304405004100412
734255656042426242
oct3333112246432770
9524043313755778
10120612657444344
11354815a484200a
121163b65ab34708
13523b9564ab200
1421ad98038d092
15de262a80c32e
hex6db2529a35f8

120612657444344 has 96 divisors (see below), whose sum is σ = 246519610485120. Its totient is φ = 55296423456768.

The previous prime is 120612657444329. The next prime is 120612657444347. The reversal of 120612657444344 is 443444756216021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120612657444347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137345984 + ... + 138221360.

It is an arithmetic number, because the mean of its divisors is an integer number (2567912609220).

Almost surely, 2120612657444344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120612657444344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123259805242560).

120612657444344 is an abundant number, since it is smaller than the sum of its proper divisors (125906953040776).

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

120612657444344 is a wasteful number, since it uses less digits than its factorization.

120612657444344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876089 (or 876072 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 53.

The spelling of 120612657444344 in words is "one hundred twenty trillion, six hundred twelve billion, six hundred fifty-seven million, four hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 169 223 338 446 457 676 892 914 1352 1784 1828 2899 3656 5798 5941 11596 11882 23192 23764 37687 47528 75374 77233 101911 150748 154466 203822 301496 308932 407644 617864 815288 875377 1324843 1750754 2649686 3501508 5299372 7003016 10598744 11379901 17222959 22759802 34445918 45519604 68891836 91039208 137783672 147938713 195209071 295877426 390418142 400047289 591754852 780836284 800094578 1183509704 1561672568 1600189156 2537717923 3200378312 5075435846 5200614757 10150871692 10401229514 20301743384 20802459028 32990332999 41604918056 65980665998 67607991841 89210545447 131961331996 135215983682 178421090894 263922663992 270431967364 356842181788 540863934728 713684363576 1159737090811 2319474181622 4638948363244 9277896726488 15076582180543 30153164361086 60306328722172 120612657444344