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121121220122120 = 2355357132651001
BaseRepresentation
bin11011100010100010111011…
…010011001101011000001000
3120212212002001002020200211002
4123202202323103031120020
5111333422224322401440
61105334153111154132
734340501514032021
oct3342427323153010
9525762032220732
10121121220122120
1135658248154009
121170212b675948
1352778b35cac0a
1421ca4268a9c48
15e00993035115
hex6e28bb4cd608

121121220122120 has 32 divisors (see below), whose sum is σ = 277664683869720. Its totient is φ = 47534365632000.

The previous prime is 121121220122117. The next prime is 121121220122179. The reversal of 121121220122120 is 21221022121121.

It can be written as a sum of positive squares in 4 ways, for example, as 103304497309924 + 17816722812196 = 10163882^2 + 4220986^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 121121220122092 and 121121220122101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28566323381 + ... + 28566327620.

Almost surely, 2121121220122120 is an apocalyptic number.

121121220122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121121220122120 is an abundant number, since it is smaller than the sum of its proper divisors (156543463747600).

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

121121220122120 is a wasteful number, since it uses less digits than its factorization.

121121220122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57132651065 (or 57132651061 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 121121220122120 its reverse (21221022121121), we get a palindrome (142342242243241).

The spelling of 121121220122120 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, two hundred twenty million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 57132651001 114265302002 228530604004 285663255005 457061208008 571326510010 1142653020020 2285306040040 3028030503053 6056061006106 12112122012212 15140152515265 24224244024424 30280305030530 60560610061060 121121220122120