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121222201120 = 2554211799617
BaseRepresentation
bin111000011100101100…
…1111111111100100000
3102120220011221212020121
41300321121333330200
53441230340413440
6131404432250024
711520666464656
oct1607131777440
9376804855217
10121222201120
1147456854999
121b5b10a0914
13b57b482ab7
145c1d7b4dd6
15324742934a
hex1c3967ff20

121222201120 has 48 divisors (see below), whose sum is σ = 287067864888. Its totient is φ = 48373678080.

The previous prime is 121222201099. The next prime is 121222201127. The reversal of 121222201120 is 21102222121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15802501264 + 105419699856 = 125708^2 + 324684^2 .

It is a super-3 number, since 3×1212222011203 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 121222201094 and 121222201103.

It is not an unprimeable number, because it can be changed into a prime (121222201127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 832449 + ... + 967168.

Almost surely, 2121222201120 is an apocalyptic number.

121222201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121222201120 is an abundant number, since it is smaller than the sum of its proper divisors (165845663768).

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

121222201120 is a wasteful number, since it uses less digits than its factorization.

121222201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800053 (or 1800045 counting only the distinct ones).

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

Adding to 121222201120 its reverse (21102222121), we get a palindrome (142324423241).

The spelling of 121222201120 in words is "one hundred twenty-one billion, two hundred twenty-two million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 421 842 1684 2105 3368 4210 6736 8420 13472 16840 33680 67360 1799617 3599234 7198468 8998085 14396936 17996170 28793872 35992340 57587744 71984680 143969360 287938720 757638757 1515277514 3030555028 3788193785 6061110056 7576387570 12122220112 15152775140 24244440224 30305550280 60611100560 121222201120