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1220110221220 = 2251179101695069
BaseRepresentation
bin10001110000010100001…
…111000111111110100100
311022122022120122012022121
4101300110033013332210
5124442241204034340
62332302204235324
7154102316522422
oct21602417077644
94278276565277
101220110221220
1143049a458a30
1217857053bb44
138b095a745a7
14430a7302112
1521b1047994a
hex11c143c7fa4

1220110221220 has 96 divisors (see below), whose sum is σ = 2858572684800. Its totient is φ = 433722432000.

The previous prime is 1220110221191. The next prime is 1220110221241. The reversal of 1220110221220 is 221220110221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1220110221194 and 1220110221203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1407846 + ... + 2102914.

It is an arithmetic number, because the mean of its divisors is an integer number (29776798800).

Almost surely, 21220110221220 is an apocalyptic number.

1220110221220 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 1220110221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429286342400).

1220110221220 is an abundant number, since it is smaller than the sum of its proper divisors (1638462463580).

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

1220110221220 is a wasteful number, since it uses less digits than its factorization.

1220110221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695269 (or 695267 counting only the distinct ones).

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

Adding to 1220110221220 its reverse (221220110221), we get a palindrome (1441330331441).

The spelling of 1220110221220 in words is "one trillion, two hundred twenty billion, one hundred ten million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 101 110 158 202 220 316 395 404 505 790 869 1010 1111 1580 1738 2020 2222 3476 4345 4444 5555 7979 8690 11110 15958 17380 22220 31916 39895 79790 87769 159580 175538 351076 438845 695069 877690 1390138 1755380 2780276 3475345 6950690 7645759 13901380 15291518 30583036 38228795 54910451 70201969 76457590 109820902 140403938 152915180 219641804 274552255 280807876 351009845 549104510 604014961 702019690 772221659 1098209020 1208029922 1404039380 1544443318 2416059844 3020074805 3088886636 3861108295 5545955551 6040149610 7722216590 11091911102 12080299220 15444433180 22183822204 27729777755 55459555510 61005511061 110919111020 122011022122 244022044244 305027555305 610055110610 1220110221220