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1222201021120 = 26511392936383
BaseRepresentation
bin10001110010010000110…
…110111001001011000000
311022211201021211211120221
4101302100312321023000
5130011031430133440
62333245453312424
7154205165161102
oct21622066711300
94284637754527
101222201021120
11431372682932
12178a54795714
138b339c909b1
1443224c75572
1521bd3cc5d4a
hex11c90db92c0

1222201021120 has 112 divisors (see below), whose sum is σ = 2939362940160. Its totient is φ = 484019142656.

The previous prime is 1222201021117. The next prime is 1222201021157. The reversal of 1222201021120 is 211201022221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1222201021094 and 1222201021103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33574449 + ... + 33610831.

Almost surely, 21222201021120 is an apocalyptic number.

1222201021120 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 1222201021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469681470080).

1222201021120 is an abundant number, since it is smaller than the sum of its proper divisors (1717161919040).

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

1222201021120 is a wasteful number, since it uses less digits than its factorization.

1222201021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37442 (or 37432 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1222201021120 its reverse (211201022221), we get a palindrome (1433402043341).

The spelling of 1222201021120 in words is "one trillion, two hundred twenty-two billion, two hundred one million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 160 226 320 452 565 904 929 1130 1808 1858 2260 3616 3716 4520 4645 7232 7432 9040 9290 14864 18080 18580 29728 36160 36383 37160 59456 72766 74320 104977 145532 148640 181915 209954 291064 297280 363830 419908 524885 582128 727660 839816 1049770 1164256 1455320 1679632 2099540 2328512 2910640 3359264 4111279 4199080 5821280 6718528 8222558 8398160 11642560 16445116 16796320 20556395 32890232 33592640 33799807 41112790 65780464 67599614 82225580 131560928 135199228 164451160 168999035 263121856 270398456 328902320 337998070 540796912 657804640 675996140 1081593824 1315609280 1351992280 2163187648 2703984560 3819378191 5407969120 7638756382 10815938240 15277512764 19096890955 30555025528 38193781910 61110051056 76387563820 122220102112 152775127640 244440204224 305550255280 611100510560 1222201021120