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1220112122200 = 235229511341143
BaseRepresentation
bin10001110000010100010…
…110011000000101011000
311022122022201012202222021
4101300110112120011120
5124442242200402300
62332302313104224
7154102341630556
oct21602426300530
94278281182867
101220112122200
114304a0537194
121785710b8074
138b09628b92a
14430a7678bd6
1521b10702d1a
hex11c14598158

1220112122200 has 96 divisors (see below), whose sum is σ = 2935225303200. Its totient is φ = 471112104960.

The previous prime is 1220112122183. The next prime is 1220112122227. The reversal of 1220112122200 is 22212110221.

It is a happy number.

It is a congruent number.

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, 29634829 + ... + 29675971.

It is an arithmetic number, because the mean of its divisors is an integer number (30575263575).

Almost surely, 21220112122200 is an apocalyptic number.

1220112122200 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 1220112122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467612651600).

1220112122200 is an abundant number, since it is smaller than the sum of its proper divisors (1715113181000).

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

1220112122200 is a wasteful number, since it uses less digits than its factorization.

1220112122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46301 (or 46292 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1220112122200 its reverse (22212110221), we get a palindrome (1242324232421).

The spelling of 1220112122200 in words is "one trillion, two hundred twenty billion, one hundred twelve million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5113 5800 10226 20452 25565 40904 41143 51130 82286 102260 127825 148277 164572 204520 205715 255650 296554 329144 411430 511300 593108 741385 822860 1022600 1028575 1186216 1193147 1482770 1645720 2057150 2386294 2965540 3706925 4114300 4772588 5931080 5965735 7413850 8228600 9545176 11931470 14827700 23862940 29655400 29828675 47725880 59657350 119314700 210364159 238629400 420728318 841456636 1051820795 1682913272 2103641590 4207283180 5259103975 6100560611 8414566360 10518207950 12201121222 21036415900 24402242444 30502803055 42072831800 48804484888 61005606110 122011212220 152514015275 244022424440 305028030550 610056061100 1220112122200