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1220122200100 = 2252191439446261
BaseRepresentation
bin10001110000010100111…
…100110100100000100100
311022122100102011210020211
4101300110330310200210
5124442302240400400
62332303313105204
7154102523403316
oct21602474644044
94278312153224
101220122200100
114304a619a931
12178574558204
138b0983a9a9b
14430a8b3d7b6
1521b11543dba
hex11c14f34824

1220122200100 has 72 divisors (see below), whose sum is σ = 2788958995200. Its totient is φ = 462039753600.

The previous prime is 1220122200071. The next prime is 1220122200103. The reversal of 1220122200100 is 10022210221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1220122200103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2510970 + ... + 2957230.

It is an arithmetic number, because the mean of its divisors is an integer number (38735541600).

Almost surely, 21220122200100 is an apocalyptic number.

1220122200100 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 1220122200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394479497600).

1220122200100 is an abundant number, since it is smaller than the sum of its proper divisors (1568836795100).

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

1220122200100 is a wasteful number, since it uses less digits than its factorization.

1220122200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447733 (or 447726 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1220122200100 its reverse (10022210221), we get a palindrome (1230144410321).

The spelling of 1220122200100 in words is "one trillion, two hundred twenty billion, one hundred twenty-two million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1439 1900 2878 5756 7195 14390 27341 28780 35975 54682 71950 109364 136705 143900 273410 446261 546820 683525 892522 1367050 1785044 2231305 2734100 4462610 8478959 8925220 11156525 16957918 22313050 33915836 42394795 44626100 84789590 169579180 211973975 423947950 642169579 847895900 1284339158 2568678316 3210847895 6421695790 12201222001 12843391580 16054239475 24402444002 32108478950 48804888004 61006110005 64216957900 122012220010 244024440020 305030550025 610061100050 1220122200100