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120221122121 = 1729324135941
BaseRepresentation
bin110111111110110111…
…1001011111001001001
3102111022102020210000122
41233331233023321021
53432203101401441
6131121231513025
711454122451212
oct1577557137111
9374272223018
10120221122121
1146a92764481
121b371988775
13b44bc58769
145b66866409
1531d95d334b
hex1bfdbcbe49

120221122121 has 8 divisors (see below), whose sum is σ = 127727405064. Its totient is φ = 112763111680.

The previous prime is 120221122093. The next prime is 120221122159. The reversal of 120221122121 is 121221122021.

It can be written as a sum of positive squares in 4 ways, for example, as 51872340025 + 68348782096 = 227755^2 + 261436^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-120221122121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 120221122121.

It is not an unprimeable number, because it can be changed into a prime (120221122421) 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, 12062990 + ... + 12072951.

It is an arithmetic number, because the mean of its divisors is an integer number (15965925633).

Almost surely, 2120221122121 is an apocalyptic number.

It is an amenable number.

120221122121 is a deficient number, since it is larger than the sum of its proper divisors (7506282943).

120221122121 is a wasteful number, since it uses less digits than its factorization.

120221122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24136251.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 120221122121 its reverse (121221122021), we get a palindrome (241442244142).

The spelling of 120221122121 in words is "one hundred twenty billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 17 293 4981 24135941 410310997 7071830713 120221122121