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121200210020 = 225157181213253
BaseRepresentation
bin111000011100000011…
…0000111000001100100
3102120211122120121010102
41300320012013001210
53441204223210040
6131402325043232
711520311533661
oct1607006070144
9376748517112
10121200210020
11474453a472a
121b5a5856518
13b576a53306
145c1a8cca68
153245533515
hex1c38187064

121200210020 has 48 divisors (see below), whose sum is σ = 257557945008. Its totient is φ = 47904929280.

The previous prime is 121200210013. The next prime is 121200210041. The reversal of 121200210020 is 20012002121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 52434588196 + 68765621824 = 228986^2 + 262232^2 .

It is a junction number, because it is equal to n+sod(n) for n = 121200209983 and 121200210010.

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, 461714 + ... + 674966.

It is an arithmetic number, because the mean of its divisors is an integer number (5365790521).

Almost surely, 2121200210020 is an apocalyptic number.

121200210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121200210020 is an abundant number, since it is smaller than the sum of its proper divisors (136357734988).

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

121200210020 is a wasteful number, since it uses less digits than its factorization.

121200210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213600 (or 213598 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 121200210020 its reverse (20012002121), we get a palindrome (141212212141).

The spelling of 121200210020 in words is "one hundred twenty-one billion, two hundred million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 157 181 314 362 628 724 785 905 1570 1810 3140 3620 28417 56834 113668 142085 213253 284170 426506 568340 853012 1066265 2132530 4265060 33480721 38598793 66961442 77197586 133922884 154395172 167403605 192993965 334807210 385987930 669614420 771975860 6060010501 12120021002 24240042004 30300052505 60600105010 121200210020