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1222011000320 = 29511113384029
BaseRepresentation
bin10001110010000101100…
…010000001011000000000
311022211020001021210001112
4101302011202001120000
5130010134304002240
62333214544422452
7154200400055435
oct21620542013000
94284201253045
101222011000320
11431285396450
12178a01017a28
138b3097bb956
144320792db8c
1521bc228d665
hex11c85881600

1222011000320 has 160 divisors (see below), whose sum is σ = 3224616959520. Its totient is φ = 440434032640.

The previous prime is 1222011000283. The next prime is 1222011000361. The reversal of 1222011000320 is 230001102221.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1222011000295 and 1222011000304.

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, 2990066 + ... + 3374094.

It is an arithmetic number, because the mean of its divisors is an integer number (20153855997).

Almost surely, 21222011000320 is an apocalyptic number.

1222011000320 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 1222011000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612308479760).

1222011000320 is an abundant number, since it is smaller than the sum of its proper divisors (2002605959200).

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

1222011000320 is a wasteful number, since it uses less digits than its factorization.

1222011000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384176 (or 384160 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1222011000320 its reverse (230001102221), we get a palindrome (1452012102541).

The spelling of 1222011000320 in words is "one trillion, two hundred twenty-two billion, eleven million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 113 128 160 176 220 226 256 320 352 440 452 512 565 640 704 880 904 1130 1243 1280 1408 1760 1808 2260 2486 2560 2816 3520 3616 4520 4972 5632 6215 7040 7232 9040 9944 12430 14080 14464 18080 19888 24860 28160 28928 36160 39776 49720 57856 72320 79552 99440 144640 159104 198880 289280 318208 384029 397760 636416 768058 795520 1536116 1591040 1920145 3072232 3182080 3840290 4224319 6144464 7680580 8448638 12288928 15361160 16897276 21121595 24577856 30722320 33794552 42243190 43395277 49155712 61444640 67589104 84486380 86790554 98311424 122889280 135178208 168972760 173581108 196622848 216976385 245778560 270356416 337945520 347162216 433952770 477348047 491557120 540712832 675891040 694324432 867905540 954696094 983114240 1081425664 1351782080 1388648864 1735811080 1909392188 2162851328 2386740235 2703564160 2777297728 3471622160 3818784376 4773480470 5407128320 5554595456 6943244320 7637568752 9546960940 10814256640 11109190912 13886488640 15275137504 19093921880 22218381824 27772977280 30550275008 38187843760 55545954560 61100550016 76375687520 111091909120 122201100032 152751375040 244402200064 305502750080 611005500160 1222011000320