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120021312312 = 233211233141621
BaseRepresentation
bin110111111000111010…
…0111110001100111000
3102110210111021101111100
41233301310332030320
53431300423443222
6131045333131400
711446145215266
oct1576164761470
9373714241440
10120021312312
114699a9a1400
121b316a89b60
13b419739bc5
145b480d3436
1531c6cb54ac
hex1bf1d3e338

120021312312 has 144 divisors (see below), whose sum is σ = 358382901240. Its totient is φ = 36259344000.

The previous prime is 120021312311. The next prime is 120021312337. The reversal of 120021312312 is 213213120021.

120021312312 is a `hidden beast` number, since 1 + 20 + 0 + 21 + 312 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120021312311) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2862862 + ... + 2904482.

Almost surely, 2120021312312 is an apocalyptic number.

120021312312 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 120021312312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179191450620).

120021312312 is an abundant number, since it is smaller than the sum of its proper divisors (238361588928).

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

120021312312 is a wasteful number, since it uses less digits than its factorization.

120021312312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41986 (or 41968 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120021312312 its reverse (213213120021), we get a palindrome (333234432333).

The spelling of 120021312312 in words is "one hundred twenty billion, twenty-one million, three hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 331 363 396 484 662 726 792 968 993 1089 1324 1452 1986 2178 2648 2904 2979 3641 3972 4356 5958 7282 7944 8712 10923 11916 14564 21846 23832 29128 32769 40051 41621 43692 65538 80102 83242 87384 120153 124863 131076 160204 166484 240306 249726 262152 320408 332968 360459 374589 457831 480612 499452 720918 749178 915662 961224 998904 1373493 1441836 1498356 1831324 2746986 2883672 2996712 3662648 4120479 5036141 5493972 8240958 10072282 10987944 13776551 15108423 16481916 20144564 27553102 30216846 32963832 40289128 41329653 45325269 55106204 60433692 82659306 90650538 110212408 120867384 123988959 151542061 165318612 181301076 247977918 303084122 330637224 362602152 454626183 495955836 606168244 909252366 991911672 1212336488 1363878549 1666962671 1818504732 2727757098 3333925342 3637009464 5000888013 5455514196 6667850684 10001776026 10911028392 13335701368 15002664039 20003552052 30005328078 40007104104 60010656156 120021312312