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1221021222120 = 233257484532231
BaseRepresentation
bin10001110001001010100…
…010010100010011101000
311022201200001211211121200
4101301022202110103220
5130001122413101440
62332532430204200
7154134021066630
oct21611242242350
94281601754550
101221021222120
11430917714437
12178785653660
138b1ac72028b
14431522c36c0
1521b6542ac30
hex11c4a8944e8

1221021222120 has 96 divisors (see below), whose sum is σ = 4535221691520. Its totient is φ = 279090564480.

The previous prime is 1221021222119. The next prime is 1221021222139. The reversal of 1221021222120 is 212221201221.

It is a happy number.

1221021222120 is a `hidden beast` number, since 1 + 2 + 210 + 212 + 221 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1221021222093 and 1221021222102.

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, 242263596 + ... + 242268635.

It is an arithmetic number, because the mean of its divisors is an integer number (47241892620).

Almost surely, 21221021222120 is an apocalyptic number.

1221021222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221021222120 is an abundant number, since it is smaller than the sum of its proper divisors (3314200469400).

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

1221021222120 is a wasteful number, since it uses less digits than its factorization.

1221021222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484532255 (or 484532248 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1221021222120 its reverse (212221201221), we get a palindrome (1433242423341).

The spelling of 1221021222120 in words is "one trillion, two hundred twenty-one billion, twenty-one million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 484532231 969064462 1453596693 1938128924 2422661155 2907193386 3391725617 3876257848 4360790079 4845322310 5814386772 6783451234 7267983465 8721580158 9690644620 10175176851 11628773544 13566902468 14535966930 16958628085 17443160316 19381289240 20350353702 21803950395 27133804936 29071933860 30525530553 33917256170 34886320632 40700707404 43607900790 50875884255 58143867720 61051061106 67834512340 81401414808 87215801580 101751768510 122102122212 135669024680 152627652765 174431603160 203503537020 244204244424 305255305530 407007074040 610510611060 1221021222120