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12233233120 = 2551014671621
BaseRepresentation
bin10110110010010100…
…00101001011100000
31011120112222122001011
423121022011023200
5200023201424440
65341520350304
7612102523453
oct133112051340
934515878034
1012233233120
115208383119
122454a75394
1311cc5865a4
148409b149a
154b8e919ea
hex2d92852e0

12233233120 has 96 divisors (see below), whose sum is σ = 29267705376. Its totient is φ = 4831488000.

The previous prime is 12233233109. The next prime is 12233233121. The reversal of 12233233120 is 2133233221.

It is a junction number, because it is equal to n+sod(n) for n = 12233233091 and 12233233100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12233233121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7545910 + ... + 7547530.

It is an arithmetic number, because the mean of its divisors is an integer number (304871931).

Almost surely, 212233233120 is an apocalyptic number.

12233233120 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 12233233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14633852688).

12233233120 is an abundant number, since it is smaller than the sum of its proper divisors (17034472256).

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

12233233120 is a wasteful number, since it uses less digits than its factorization.

12233233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2204 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 12233233120 its reverse (2133233221), we get a palindrome (14366466341).

The spelling of 12233233120 in words is "twelve billion, two hundred thirty-three million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 101 160 202 404 467 505 808 934 1010 1616 1621 1868 2020 2335 3232 3242 3736 4040 4670 6484 7472 8080 8105 9340 12968 14944 16160 16210 18680 25936 32420 37360 47167 51872 64840 74720 94334 129680 163721 188668 235835 259360 327442 377336 471670 654884 754672 757007 818605 943340 1309768 1509344 1514014 1637210 1886680 2619536 3028028 3274420 3773360 3785035 5239072 6056056 6548840 7546720 7570070 12112112 13097680 15140140 24224224 26195360 30280280 60560560 76457707 121121120 152915414 305830828 382288535 611661656 764577070 1223323312 1529154140 2446646624 3058308280 6116616560 12233233120