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12222021120 = 29358917881
BaseRepresentation
bin10110110000111110…
…10011111000000000
31011112202220000001220
423120133103320000
5200012314133440
65340440155040
7611605315431
oct133037237000
934482800056
1012222021120
115202015401
122451168a80
1311ca15c17a
1483d2d3488
154b7ec98d0
hex2d87d3e00

12222021120 has 160 divisors (see below), whose sum is σ = 39513497760. Its totient is φ = 3222405120.

The previous prime is 12222021067. The next prime is 12222021137. The reversal of 12222021120 is 2112022221.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12222021120.

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, 674580 + ... + 692460.

It is an arithmetic number, because the mean of its divisors is an integer number (246959361).

Almost surely, 212222021120 is an apocalyptic number.

12222021120 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 12222021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19756748880).

12222021120 is an abundant number, since it is smaller than the sum of its proper divisors (27291476640).

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

12222021120 is an equidigital number, since it uses as much as digits as its factorization.

12222021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17996 (or 17980 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12222021120 its reverse (2112022221), we get a palindrome (14334043341).

The spelling of 12222021120 in words is "twelve billion, two hundred twenty-two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 89 96 120 128 160 178 192 240 256 267 320 356 384 445 480 512 534 640 712 768 890 960 1068 1280 1335 1424 1536 1780 1920 2136 2560 2670 2848 3560 3840 4272 5340 5696 7120 7680 8544 10680 11392 14240 17088 17881 21360 22784 28480 34176 35762 42720 45568 53643 56960 68352 71524 85440 89405 107286 113920 136704 143048 170880 178810 214572 227840 268215 286096 341760 357620 429144 536430 572192 683520 715240 858288 1072860 1144384 1430480 1591409 1716576 2145720 2288768 2860960 3182818 3433152 4291440 4577536 4774227 5721920 6365636 6866304 7957045 8582880 9155072 9548454 11443840 12731272 13732608 15914090 17165760 19096908 22887680 23871135 25462544 27465216 31828180 34331520 38193816 45775360 47742270 50925088 63656360 68663040 76387632 95484540 101850176 127312720 137326080 152775264 190969080 203700352 254625440 305550528 381938160 407400704 509250880 611101056 763876320 814801408 1018501760 1222202112 1527752640 2037003520 2444404224 3055505280 4074007040 6111010560 12222021120