Search a number
-
+
120233012313012 = 223296717472951731
BaseRepresentation
bin11011010101100111101101…
…111111010011101110110100
3120202201011102100112222102120
4123111213231333103232310
5111224344202123004022
61103414141111235540
734216356062154534
oct3325475577235664
9522634370488376
10120233012313012
1135345596a89825
1211599b68678bb0
135211c02c16a71
1421994476894c4
15dd780adcad5c
hex6d59edfd3bb4

120233012313012 has 96 divisors (see below), whose sum is σ = 294717924856320. Its totient is φ = 38096302527360.

The previous prime is 120233012312947. The next prime is 120233012313019. The reversal of 120233012313012 is 210313210332021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120233012313019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39257187 + ... + 42208917.

It is an arithmetic number, because the mean of its divisors is an integer number (3069978383920).

Almost surely, 2120233012313012 is an apocalyptic number.

120233012313012 is a gapful number since it is divisible by the number (12) 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 120233012313012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147358962428160).

120233012313012 is an abundant number, since it is smaller than the sum of its proper divisors (174484912543308).

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

120233012313012 is a wasteful number, since it uses less digits than its factorization.

120233012313012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953581 (or 2953579 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 120233012313012 its reverse (210313210332021), we get a palindrome (330546222645033).

The spelling of 120233012313012 in words is "one hundred twenty trillion, two hundred thirty-three billion, twelve million, three hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 12 29 58 67 87 116 134 174 201 268 348 402 804 1747 1943 3494 3886 5241 5829 6988 7772 10482 11658 20964 23316 50663 101326 117049 151989 202652 234098 303978 351147 468196 607956 702294 1404588 2951731 3394421 5903462 6788842 8855193 10183263 11806924 13577684 17710386 20366526 35420772 40733052 85600199 171200398 197765977 256800597 342400796 395531954 513601194 593297931 791063908 1027202388 1186595862 2373191724 5156674057 5735213333 10313348114 11470426666 15470022171 17205639999 20626696228 22940853332 30940044342 34411279998 61880088684 68822559996 149543547653 299087095306 345497161819 448630642959 598174190612 690994323638 897261285918 1036491485457 1381988647276 1794522571836 2072982970914 4145965941828 10019417692751 20038835385502 30058253078253 40077670771004 60116506156506 120233012313012