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120223601344 = 2671127318933
BaseRepresentation
bin110111111110111100…
…0101001001011000000
3102111022120220201212201
41233331320221023000
53432204220220334
6131121401002544
711454152515240
oct1577570511300
9374276821781
10120223601344
1146a940a8120
121b372783454
13b44c616062
145b66d0db20
1531d9922c14
hex1bfde292c0

120223601344 has 112 divisors (see below), whose sum is σ = 297578532096. Its totient is φ = 46817971200.

The previous prime is 120223601341. The next prime is 120223601353. The reversal of 120223601344 is 443106322021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (120223601341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13453902 + ... + 13462834.

Almost surely, 2120223601344 is an apocalyptic number.

120223601344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120223601344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148789266048).

120223601344 is an abundant number, since it is smaller than the sum of its proper divisors (177354930752).

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

120223601344 is a wasteful number, since it uses less digits than its factorization.

120223601344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11694 (or 11684 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 120223601344 its reverse (443106322021), we get a palindrome (563329923365).

The spelling of 120223601344 in words is "one hundred twenty billion, two hundred twenty-three million, six hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 2731 4928 5462 8933 10924 17866 19117 21848 30041 35732 38234 43696 60082 62531 71464 76468 87392 98263 120164 125062 142928 152936 174784 196526 210287 240328 250124 285856 305872 393052 420574 480656 500248 571712 611744 687841 786104 841148 961312 1000496 1223488 1375682 1572208 1682296 1922624 2000992 2751364 3144416 3364592 4001984 5502728 6288832 6729184 11005456 13458368 22010912 24396023 44021824 48792046 97584092 170772161 195168184 268356253 341544322 390336368 536712506 683088644 780672736 1073425012 1366177288 1561345472 1878493771 2146850024 2732354576 3756987542 4293700048 5464709152 7513975084 8587400096 10929418304 15027950168 17174800192 30055900336 60111800672 120223601344