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120133020112 = 24723493591223
BaseRepresentation
bin110111111100001111…
…1000110100111010000
3102111002021110201210021
41233320133012213100
53432013023120422
6131104403313224
711452002552100
oct1577037064720
9374067421707
10120133020112
1146a47a5a0a6
121b34837b814
13b43691c6b1
145b58c91200
1531d19cddc7
hex1bf87c69d0

120133020112 has 120 divisors (see below), whose sum is σ = 272513808000. Its totient is φ = 51153193728.

The previous prime is 120133020107. The next prime is 120133020149. The reversal of 120133020112 is 211020331021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98227533 + ... + 98228755.

It is an arithmetic number, because the mean of its divisors is an integer number (2270948400).

Almost surely, 2120133020112 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 120133020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136256904000).

120133020112 is an abundant number, since it is smaller than the sum of its proper divisors (152380787888).

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

120133020112 is a wasteful number, since it uses less digits than its factorization.

120133020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 120133020112 its reverse (211020331021), we get a palindrome (331153351133).

The spelling of 120133020112 in words is "one hundred twenty billion, one hundred thirty-three million, twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 349 359 392 698 718 784 1223 1396 1436 2443 2446 2513 2792 2872 4886 4892 5026 5584 5744 8561 9772 9784 10052 17101 17122 17591 19544 19568 20104 34202 34244 35182 39088 40208 59927 68404 68488 70364 119854 125291 136808 136976 140728 239708 250582 273616 281456 426827 439057 479416 501164 853654 877037 878114 958832 1002328 1707308 1754074 1756228 2004656 2987789 3073399 3414616 3508148 3512456 5975578 6139259 6146798 6829232 7016296 7024912 11951156 12278518 12293596 14032592 20914523 21513793 23902312 24557036 24587192 41829046 43027586 47804624 49114072 49174384 83658092 86055172 98228144 153230893 167316184 172110344 306461786 334632368 344220688 612923572 1072616251 1225847144 2145232502 2451694288 4290465004 7508313757 8580930008 15016627514 17161860016 30033255028 60066510056 120133020112