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1220000011020 = 2232572342097999
BaseRepresentation
bin10001110000001101101…
…010101101001100001100
311022122000220020221100100
4101300031222231030030
5124442030000323040
62332243230131100
7154066510664040
oct21601552551414
94278026227310
101220000011020
1143044322341a
1217853b650a90
138b078c9765b
1443096814020
1521b05959b30
hex11c0daad30c

1220000011020 has 144 divisors (see below), whose sum is σ = 4413217536000. Its totient is φ = 266732915328.

The previous prime is 1220000010947. The next prime is 1220000011067. The reversal of 1220000011020 is 201100000221.

It is a super-3 number, since 3×12200000110203 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1220000010993 and 1220000011011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21020020 + ... + 21077979.

It is an arithmetic number, because the mean of its divisors is an integer number (30647344000).

Almost surely, 21220000011020 is an apocalyptic number.

1220000011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220000011020 is an abundant number, since it is smaller than the sum of its proper divisors (3193217524980).

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

1220000011020 is a wasteful number, since it uses less digits than its factorization.

1220000011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42098044 (or 42098039 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1220000011020 its reverse (201100000221), we get a palindrome (1421100011241).

The spelling of 1220000011020 in words is "one trillion, two hundred twenty billion, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 23 28 30 35 36 42 45 46 60 63 69 70 84 90 92 105 115 126 138 140 161 180 207 210 230 252 276 315 322 345 414 420 460 483 630 644 690 805 828 966 1035 1260 1380 1449 1610 1932 2070 2415 2898 3220 4140 4830 5796 7245 9660 14490 28980 42097999 84195998 126293997 168391996 210489995 252587994 294685993 378881991 420979990 505175988 589371986 631469985 757763982 841959980 884057979 968253977 1178743972 1262939970 1473429965 1515527964 1768115958 1894409955 1936507954 2525879940 2652173937 2904761931 2946859930 3536231916 3788819910 3873015908 4420289895 4841269885 5304347874 5809523862 5893719860 6777777839 7577639820 8714285793 8840579790 9682539770 10608695748 11619047724 13260869685 13555555678 14523809655 17428571586 17681159580 19365079540 20333333517 26521739370 27111111356 29047619310 33888889195 34857143172 40666667034 43571428965 53043478740 58095238620 61000000551 67777778390 81333334068 87142857930 101666667585 122000001102 135555556780 174285715860 203333335170 244000002204 305000002755 406666670340 610000005510 1220000011020