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1220121000020 = 2251346310135579
BaseRepresentation
bin10001110000010100111…
…000001111100001010100
311022122100022220211001102
4101300110320033201110
5124442301434000040
62332303231245232
7154102510244456
oct21602470174124
94278308824042
101220121000020
114304a555022a
12178574079818
138b098079790
14430a890a2d6
1521b113a8515
hex11c14e0f854

1220121000020 has 48 divisors (see below), whose sum is σ = 2765310562560. Its totient is φ = 449533155456.

The previous prime is 1220121000017. The next prime is 1220121000071. The reversal of 1220121000020 is 200001210221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1220120999965 and 1220121000010.

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 15 ways as a sum of consecutive naturals, for example, 4947410 + ... + 5188169.

It is an arithmetic number, because the mean of its divisors is an integer number (57610636720).

Almost surely, 21220121000020 is an apocalyptic number.

1220121000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220121000020 is an abundant number, since it is smaller than the sum of its proper divisors (1545189562540).

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

1220121000020 is a wasteful number, since it uses less digits than its factorization.

1220121000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10136064 (or 10136062 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1220121000020 its reverse (200001210221), we get a palindrome (1420122210241).

The spelling of 1220121000020 in words is "one trillion, two hundred twenty billion, one hundred twenty-one million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 463 926 1852 2315 4630 6019 9260 12038 24076 30095 60190 120380 10135579 20271158 40542316 50677895 101355790 131762527 202711580 263525054 527050108 658812635 1317625270 2635250540 4692773077 9385546154 18771092308 23463865385 46927730770 61006050001 93855461540 122012100002 244024200004 305030250005 610060500010 1220121000020