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1220211100020 = 22351110118304997
BaseRepresentation
bin10001110000011010001…
…111111100100101110100
311022122120121110101000110
4101300122033330211310
5124442443020200040
62332320210343020
7154104653134623
oct21603217744564
94278517411013
101220211100020
1143054139a740
1217859a28aa70
138b0b09350a3
14430b68816ba
1521b19254980
hex11c1a3fc974

1220211100020 has 96 divisors (see below), whose sum is σ = 3764093348736. Its totient is φ = 292879936000.

The previous prime is 1220211099977. The next prime is 1220211100051. The reversal of 1220211100020 is 200011120221.

It is a super-2 number, since 2×12202111000202 (a number of 25 digits) contains 22 as substring.

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 = 1220211099969 and 1220211100005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9085839 + ... + 9219158.

It is an arithmetic number, because the mean of its divisors is an integer number (39209305716).

Almost surely, 21220211100020 is an apocalyptic number.

1220211100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220211100020 is an abundant number, since it is smaller than the sum of its proper divisors (2543882248716).

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

1220211100020 is a wasteful number, since it uses less digits than its factorization.

1220211100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18305121 (or 18305119 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1220211100020 its reverse (200011120221), we get a palindrome (1420222220241).

It can be divided in two parts, 1220211 and 100020, that added together give a palindrome (1320231).

The spelling of 1220211100020 in words is "one trillion, two hundred twenty billion, two hundred eleven million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 505 606 660 1010 1111 1212 1515 2020 2222 3030 3333 4444 5555 6060 6666 11110 13332 16665 22220 33330 66660 18304997 36609994 54914991 73219988 91524985 109829982 183049970 201354967 219659964 274574955 366099940 402709934 549149910 604064901 805419868 1006774835 1098299820 1208129802 1848804697 2013549670 2416259604 3020324505 3697609394 4027099340 5546414091 6040649010 7395218788 9244023485 11092828182 12081298020 18488046970 20336851667 22185656364 27732070455 36976093940 40673703334 55464140910 61010555001 81347406668 101684258335 110928281820 122021110002 203368516670 244042220004 305052775005 406737033340 610105550010 1220211100020