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1220101112220 = 2235176917172933
BaseRepresentation
bin10001110000010011101…
…100011000000110011100
311022122021221111102010020
4101300103230120012130
5124442231341042340
62332301241112140
7154102146223524
oct21602354300634
94278257442106
101220101112220
114304952a7231
12178569488650
138b093c05453
14430a6010684
1521b0e77a9d0
hex11c13b1819c

1220101112220 has 96 divisors (see below), whose sum is σ = 3617784813888. Its totient is φ = 306175414272.

The previous prime is 1220101112207. The next prime is 1220101112221. The reversal of 1220101112220 is 222111010221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1220101112220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220101112221) by changing a digit.

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, 6968874 + ... + 7141806.

It is an arithmetic number, because the mean of its divisors is an integer number (37685258478).

Almost surely, 21220101112220 is an apocalyptic number.

1220101112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220101112220 is an abundant number, since it is smaller than the sum of its proper divisors (2397683701668).

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

1220101112220 is a wasteful number, since it uses less digits than its factorization.

1220101112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179879 (or 179877 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1220101112220 its reverse (222111010221), we get a palindrome (1442212122441).

The spelling of 1220101112220 in words is "one trillion, two hundred twenty billion, one hundred one million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 6917 13834 20751 27668 34585 41502 69170 83004 103755 117589 138340 172933 207510 235178 345866 352767 415020 470356 518799 587945 691732 705534 864665 1037598 1175890 1411068 1729330 1763835 2075196 2351780 2593995 2939861 3458660 3527670 5187990 5879722 7055340 8819583 10375980 11759444 14699305 17639166 29398610 35278332 44097915 58797220 88195830 176391660 1196177561 2392355122 3588532683 4784710244 5980887805 7177065366 11961775610 14354130732 17942663415 20335018537 23923551220 35885326830 40670037074 61005055611 71770653660 81340074148 101675092685 122010111222 203350185370 244020222444 305025278055 406700370740 610050556110 1220101112220