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1220120200020 = 2235101622932323
BaseRepresentation
bin10001110000010100110…
…101001100001101010100
311022122100021102011122210
4101300110311030031110
5124442301232400040
62332303202153420
7154102500403221
oct21602465141524
94278307364583
101220120200020
114304a5054177
12178573952870
138b097b595c7
14430a877c948
1521b1129b480
hex11c14d4c354

1220120200020 has 96 divisors (see below), whose sum is σ = 3450822318720. Its totient is φ = 322082265600.

The previous prime is 1220120200003. The next prime is 1220120200081. The reversal of 1220120200020 is 200020210221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1220120199969 and 1220120200005.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 37731579 + ... + 37763901.

It is an arithmetic number, because the mean of its divisors is an integer number (35946065820).

Almost surely, 21220120200020 is an apocalyptic number.

1220120200020 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 1220120200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725411159360).

1220120200020 is an abundant number, since it is smaller than the sum of its proper divisors (2230702118700).

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

1220120200020 is a wasteful number, since it uses less digits than its factorization.

1220120200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38665 (or 38663 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1220120200020 its reverse (200020210221), we get a palindrome (1420140410241).

The spelling of 1220120200020 in words is "one trillion, two hundred twenty billion, one hundred twenty million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3030 6060 6229 12458 18687 24916 31145 32323 37374 62290 64646 74748 93435 96969 124580 129292 161615 186870 193938 323230 373740 387876 484845 629129 646460 969690 1258258 1887387 1939380 2516516 3145645 3264623 3774774 6291290 6529246 7549548 9436935 9793869 12582580 13058492 16323115 18873870 19587738 32646230 37747740 39175476 48969345 65292460 97938690 195877380 201339967 402679934 604019901 805359868 1006699835 1208039802 2013399670 2416079604 3020099505 4026799340 6040199010 12080398020 20335336667 40670673334 61006010001 81341346668 101676683335 122012020002 203353366670 244024040004 305030050005 406706733340 610060100010 1220120200020