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1221010213220 = 22573241738547
BaseRepresentation
bin10001110001001001111…
…000010100100101100100
311022201122022010112020122
4101301021320110211210
5130001112103310340
62332531354221112
7154133525366000
oct21611170244544
94281568115218
101221010213220
11430911485276
12178781a24798
138b1aa367435
1443150a59700
1521b644a3db5
hex11c49e14964

1221010213220 has 96 divisors (see below), whose sum is σ = 3002640748800. Its totient is φ = 416894446080.

The previous prime is 1221010213201. The next prime is 1221010213261. The reversal of 1221010213220 is 223120101221.

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 31 ways as a sum of consecutive naturals, for example, 1283987 + ... + 2022533.

It is an arithmetic number, because the mean of its divisors is an integer number (31277507800).

Almost surely, 21221010213220 is an apocalyptic number.

1221010213220 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 1221010213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501320374400).

1221010213220 is an abundant number, since it is smaller than the sum of its proper divisors (1781630535580).

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

1221010213220 is a wasteful number, since it uses less digits than its factorization.

1221010213220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738818 (or 738802 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1221010213220 its reverse (223120101221), we get a palindrome (1444130314441).

The spelling of 1221010213220 in words is "one trillion, two hundred twenty-one billion, ten million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 241 245 343 482 490 686 964 980 1205 1372 1687 1715 2410 3374 3430 4820 6748 6860 8435 11809 16870 23618 33740 47236 59045 82663 118090 165326 236180 330652 413315 738547 826630 1477094 1653260 2954188 3692735 5169829 7385470 10339658 14770940 20679316 25849145 36188803 51698290 72377606 103396580 144755212 177989827 180944015 253321621 355979654 361888030 506643242 711959308 723776060 889949135 1013286484 1245928789 1266608105 1779898270 2491857578 2533216210 3559796540 4983715156 5066432420 6229643945 8721501523 12459287890 17443003046 24918575780 34886006092 43607507615 61050510661 87215015230 122101021322 174430030460 244202042644 305252553305 610505106610 1221010213220