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1221220021100 = 2252191563113567
BaseRepresentation
bin10001110001010110011…
…000101011001101101100
311022202011220220212112212
4101301112120223031230
5130002024311133400
62333004251145552
7154141653622532
oct21612630531554
94282156825485
101221220021100
11430a09957012
121788201452b8
138b211976a01
1443170872152
1521b77ae9335
hex11c5662b36c

1221220021100 has 72 divisors (see below), whose sum is σ = 2668677193728. Its totient is φ = 485063099200.

The previous prime is 1221220021097. The next prime is 1221220021117. The reversal of 1221220021100 is 11200221221.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10696517 + ... + 10810083.

It is an arithmetic number, because the mean of its divisors is an integer number (37064961024).

Almost surely, 21221220021100 is an apocalyptic number.

1221220021100 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 1221220021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334338596864).

1221220021100 is an abundant number, since it is smaller than the sum of its proper divisors (1447457172628).

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

1221220021100 is a wasteful number, since it uses less digits than its factorization.

1221220021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114335 (or 114328 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1221220021100 its reverse (11200221221), we get a palindrome (1232420242321).

The spelling of 1221220021100 in words is "one trillion, two hundred twenty-one billion, two hundred twenty million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 191 382 563 764 955 1126 1910 2252 2815 3820 4775 5630 9550 11260 14075 19100 28150 56300 107533 113567 215066 227134 430132 454268 537665 567835 1075330 1135670 2150660 2271340 2688325 2839175 5376650 5678350 10753300 11356700 21691297 43382594 63938221 86765188 108456485 127876442 216912970 255752884 319691105 433825940 542282425 639382210 1084564850 1278764420 1598455525 2169129700 3196911050 6393822100 12212200211 24424400422 48848800844 61061001055 122122002110 244244004220 305305005275 610610010550 1221220021100