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12234221120 = 265115958909
BaseRepresentation
bin10110110010011011…
…10110011001000000
31011120121211211022202
423121031312121000
5200023430033440
65341553452332
7612114110102
oct133115663100
934517754282
1012234221120
115208998450
1224552710a8
1311cc8411c4
14840b8b572
154b90d9615
hex2d9376640

12234221120 has 112 divisors (see below), whose sum is σ = 32320382400. Its totient is φ = 4373329920.

The previous prime is 12234221107. The next prime is 12234221137. The reversal of 12234221120 is 2112243221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12234221092 and 12234221101.

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, 178226 + ... + 237134.

Almost surely, 212234221120 is an apocalyptic number.

12234221120 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 12234221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16160191200).

12234221120 is an abundant number, since it is smaller than the sum of its proper divisors (20086161280).

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

12234221120 is a wasteful number, since it uses less digits than its factorization.

12234221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58996 (or 58986 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12234221120 its reverse (2112243221), we get a palindrome (14346464341).

The spelling of 12234221120 in words is "twelve billion, two hundred thirty-four million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 59 64 80 88 110 118 160 176 220 236 295 320 352 440 472 590 649 704 880 944 1180 1298 1760 1888 2360 2596 3245 3520 3776 4720 5192 6490 9440 10384 12980 18880 20768 25960 41536 51920 58909 103840 117818 207680 235636 294545 471272 589090 647999 942544 1178180 1295998 1885088 2356360 2591996 3239995 3475631 3770176 4712720 5183992 6479990 6951262 9425440 10367984 12959980 13902524 17378155 18850880 20735968 25919960 27805048 34756310 38231941 41471936 51839920 55610096 69512620 76463882 103679840 111220192 139025240 152927764 191159705 207359680 222440384 278050480 305855528 382319410 556100960 611711056 764638820 1112201920 1223422112 1529277640 2446844224 3058555280 6117110560 12234221120