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1220012201120 = 255192243178921
BaseRepresentation
bin10001110000001110011…
…001001101010010100000
311022122001202012021000112
4101300032121031102200
5124442041110413440
62332244343310452
7154100016414506
oct21601631152240
94278052167015
101220012201120
1143044a099a89
1217854374b428
138b07b67502b
14430982a8676
1521b06a66965
hex11c0e64d4a0

1220012201120 has 96 divisors (see below), whose sum is σ = 3035347318080. Its totient is φ = 462111713280.

The previous prime is 1220012201119. The next prime is 1220012201137. The reversal of 1220012201120 is 211022100221.

It is a junction number, because it is equal to n+sod(n) for n = 1220012201095 and 1220012201104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6729260 + ... + 6908180.

It is an arithmetic number, because the mean of its divisors is an integer number (31618201230).

Almost surely, 21220012201120 is an apocalyptic number.

1220012201120 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 1220012201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517673659040).

1220012201120 is an abundant number, since it is smaller than the sum of its proper divisors (1815335116960).

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

1220012201120 is a wasteful number, since it uses less digits than its factorization.

1220012201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181198 (or 181190 counting only the distinct ones).

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

Adding to 1220012201120 its reverse (211022100221), we get a palindrome (1431034301341).

The spelling of 1220012201120 in words is "one trillion, two hundred twenty billion, twelve million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 2243 3040 4486 8972 11215 17944 22430 35888 42617 44860 71776 85234 89720 170468 178921 179440 213085 340936 357842 358880 426170 681872 715684 852340 894605 1363744 1431368 1704680 1789210 2862736 3399499 3409360 3578420 5725472 6798998 6818720 7156840 13597996 14313680 16997495 27195992 28627360 33994990 54391984 67989980 108783968 135979960 271959920 401319803 543919840 802639606 1605279212 2006599015 3210558424 4013198030 6421116848 7625076257 8026396060 12842233696 15250152514 16052792120 30500305028 32105584240 38125381285 61000610056 64211168480 76250762570 122001220112 152501525140 244002440224 305003050280 610006100560 1220012201120