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1221300030120 = 233597137765859
BaseRepresentation
bin10001110001011011001…
…001111000101010101000
311022202101111110202021220
4101301123021320222220
5130002210301430440
62333020230102040
7154143644654142
oct21613311705250
94282344422256
101221300030120
11430a50033a75
12178842aaa920
138b22540b221
144317b33bc92
1521b7eb508d0
hex11c5b278aa8

1221300030120 has 128 divisors (see below), whose sum is σ = 3728696630400. Its totient is φ = 319969345536.

The previous prime is 1221300030101. The next prime is 1221300030143. The reversal of 1221300030120 is 210300031221.

It is a super-2 number, since 2×12213000301202 (a number of 25 digits) contains 22 as substring.

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 1221300030120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1211751 + ... + 1977609.

It is an arithmetic number, because the mean of its divisors is an integer number (29130442425).

Almost surely, 21221300030120 is an apocalyptic number.

1221300030120 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 1221300030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864348315200).

1221300030120 is an abundant number, since it is smaller than the sum of its proper divisors (2507396600280).

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

1221300030120 is a wasteful number, since it uses less digits than its factorization.

1221300030120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766107 (or 766103 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1221300030120 its reverse (210300031221), we get a palindrome (1431600061341).

The spelling of 1221300030120 in words is "one trillion, two hundred twenty-one billion, three hundred million, thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 137 194 274 291 388 411 485 548 582 685 776 822 970 1096 1164 1370 1455 1644 1940 2055 2328 2740 2910 3288 3880 4110 5480 5820 8220 11640 13289 16440 26578 39867 53156 66445 79734 106312 132890 159468 199335 265780 318936 398670 531560 765859 797340 1531718 1594680 2297577 3063436 3829295 4595154 6126872 7658590 9190308 11487885 15317180 18380616 22975770 30634360 45951540 74288323 91903080 104922683 148576646 209845366 222864969 297153292 314768049 371441615 419690732 445729938 524613415 594306584 629536098 742883230 839381464 891459876 1049226830 1114324845 1259072196 1485766460 1573840245 1782919752 2098453660 2228649690 2518144392 2971532920 3147680490 4196907320 4457299380 6295360980 8914598760 10177500251 12590721960 20355000502 30532500753 40710001004 50887501255 61065001506 81420002008 101775002510 122130003012 152662503765 203550005020 244260006024 305325007530 407100010040 610650015060 1221300030120