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12233130120 = 23325211161047
BaseRepresentation
bin10110110010010011…
…01100000010001000
31011120112210101202100
423121021230002020
5200023140130440
65341514233400
7612101614251
oct133111540210
934515711670
1012233130120
1152083127a2
122454a25860
1311cc54b743
14840985b28
154b8e71230
hex2d926c088

12233130120 has 96 divisors (see below), whose sum is σ = 39946345920. Its totient is φ = 3246687360.

The previous prime is 12233130109. The next prime is 12233130149. The reversal of 12233130120 is 2103133221.

12233130120 is a `hidden beast` number, since 12 + 2 + 331 + 301 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12233130093 and 12233130102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4564 + ... + 156483.

It is an arithmetic number, because the mean of its divisors is an integer number (416107770).

Almost surely, 212233130120 is an apocalyptic number.

12233130120 is a gapful number since it is divisible by the number (10) 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 12233130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19973172960).

12233130120 is an abundant number, since it is smaller than the sum of its proper divisors (27713215800).

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

12233130120 is a wasteful number, since it uses less digits than its factorization.

12233130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161275 (or 161268 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12233130120 its reverse (2103133221), we get a palindrome (14336263341).

The spelling of 12233130120 in words is "twelve billion, two hundred thirty-three million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 211 360 422 633 844 1055 1266 1688 1899 2110 2532 3165 3798 4220 5064 6330 7596 8440 9495 12660 15192 18990 25320 37980 75960 161047 322094 483141 644188 805235 966282 1288376 1449423 1610470 1932564 2415705 2898846 3220940 3865128 4831410 5797692 6441880 7247115 9662820 11595384 14494230 19325640 28988460 33980917 57976920 67961834 101942751 135923668 169904585 203885502 271847336 305828253 339809170 407771004 509713755 611656506 679618340 815542008 1019427510 1223313012 1359236680 1529141265 2038855020 2446626024 3058282530 4077710040 6116565060 12233130120