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1220121210220 = 2251129962919861
BaseRepresentation
bin10001110000010100111…
…001000010110101101100
311022122100100022111101121
4101300110321002311230
5124442302012211340
62332303235550324
7154102512111343
oct21602471026554
94278310274347
101220121210220
114304a5684150
1217857415b3a4
138b098121363
14430a8962b5a
1521b113ea94a
hex11c14e42d6c

1220121210220 has 96 divisors (see below), whose sum is σ = 2892018427200. Its totient is φ = 428315059200.

The previous prime is 1220121210211. The next prime is 1220121210229. The reversal of 1220121210220 is 220121210221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1220121210211) and next prime (1220121210229).

It is a junction number, because it is equal to n+sod(n) for n = 1220121210194 and 1220121210203.

It is not an unprimeable number, because it can be changed into a prime (1220121210229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61423090 + ... + 61442950.

It is an arithmetic number, because the mean of its divisors is an integer number (30125191950).

Almost surely, 21220121210220 is an apocalyptic number.

1220121210220 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 1220121210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446009213600).

1220121210220 is an abundant number, since it is smaller than the sum of its proper divisors (1671897216980).

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

1220121210220 is a wasteful number, since it uses less digits than its factorization.

1220121210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29539 (or 29537 counting only the distinct ones).

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

Adding to 1220121210220 its reverse (220121210221), we get a palindrome (1440242420441).

Subtracting from 1220121210220 its reverse (220121210221), we obtain a palindrome (999999999999).

It can be divided in two parts, 1220121 and 210220, that added together give a palindrome (1430341).

The spelling of 1220121210220 in words is "one trillion, two hundred twenty billion, one hundred twenty-one million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 3190 6380 9629 19258 19861 38516 39722 48145 79444 96290 99305 105919 192580 198610 211838 218471 279241 397220 423676 436942 529595 558482 575969 873884 1059190 1092355 1116964 1151938 1396205 2118380 2184710 2303876 2792410 2879845 3071651 4369420 5584820 5759690 6143302 6335659 11519380 12286604 12671318 15358255 25342636 30716510 31678295 61433020 63356590 126713180 191241569 382483138 764966276 956207845 1912415690 2103657259 3824831380 4207314518 5546005501 8414629036 10518286295 11092011002 21036572590 22184022004 27730027505 42073145180 55460055010 61006060511 110920110020 122012121022 244024242044 305030302555 610060605110 1220121210220