Search a number
-
+
12233313120 = 253573640867
BaseRepresentation
bin10110110010010100…
…11000101101100000
31011120120010200210010
423121022120231200
5200023212004440
65341522204520
7612103305630
oct133112305540
934516120703
1012233313120
115208428236
122454ab3740
1311cc5b3b22
148409d26c0
154b8eaa580
hex2d9298b60

12233313120 has 96 divisors (see below), whose sum is σ = 44039939328. Its totient is φ = 2796185088.

The previous prime is 12233313119. The next prime is 12233313143. The reversal of 12233313120 is 2131333221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1817074 + ... + 1823793.

It is an arithmetic number, because the mean of its divisors is an integer number (458749368).

Almost surely, 212233313120 is an apocalyptic number.

12233313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12233313120 is an abundant number, since it is smaller than the sum of its proper divisors (31806626208).

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

12233313120 is a wasteful number, since it uses less digits than its factorization.

12233313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640892 (or 3640884 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12233313120 its reverse (2131333221), we get a palindrome (14364646341).

The spelling of 12233313120 in words is "twelve billion, two hundred thirty-three million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 3640867 7281734 10922601 14563468 18204335 21845202 25486069 29126936 36408670 43690404 50972138 54613005 58253872 72817340 76458207 87380808 101944276 109226010 116507744 127430345 145634680 152916414 174761616 203888552 218452020 254860690 291269360 305832828 349523232 382291035 407777104 436904040 509721380 582538720 611665656 764582070 815554208 873808080 1019442760 1223331312 1529164140 1747616160 2038885520 2446662624 3058328280 4077771040 6116656560 12233313120