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121200020123 = 71317327727793
BaseRepresentation
bin111000011100000010…
…1011000101010011011
3102120211122012221122012
41300320011120222123
53441204201120443
6131402321020135
711520310113230
oct1607005305233
9376748187565
10121200020123
1147445284a96
121b5a578464b
13b5769b7a50
145c1a87d787
1532454e7118
hex1c38158a9b

121200020123 has 32 divisors (see below), whose sum is σ = 150578553216. Its totient is φ = 94992611328.

The previous prime is 121200020069. The next prime is 121200020141. The reversal of 121200020123 is 321020002121.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 121200020123 - 28 = 121200019867 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121200020098 and 121200020107.

It is not an unprimeable number, because it can be changed into a prime (121200020153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4346915 + ... + 4374707.

It is an arithmetic number, because the mean of its divisors is an integer number (4705579788).

Almost surely, 2121200020123 is an apocalyptic number.

121200020123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

121200020123 is a deficient number, since it is larger than the sum of its proper divisors (29378533093).

121200020123 is a wasteful number, since it uses less digits than its factorization.

121200020123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28263.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 121200020123 its reverse (321020002121), we get a palindrome (442220022244).

The spelling of 121200020123 in words is "one hundred twenty-one billion, two hundred million, twenty thousand, one hundred twenty-three".

Divisors: 1 7 13 91 173 277 1211 1939 2249 3601 15743 25207 27793 47921 194551 335447 361309 622973 2529163 4360811 4808189 7698661 33657323 53890627 62506457 100082593 437545199 700578151 1331868353 9323078471 17314288589 121200020123