Search a number
-
+
122132112203009 = 5985910972196737
BaseRepresentation
bin11011110001010000011001…
…001010011101110100000001
3121000102201022220001011100102
4123301100121022131310001
5112002003031210444014
61111430415012532145
734503516410656646
oct3361203112356401
9530381286034312
10122132112203009
1135a07a353a7547
1211846031321055
13531c016336c1c
14222332372ddcd
15e1be0ab1e8de
hex6f141929dd01

122132112203009 has 16 divisors (see below), whose sum is σ = 124460145518400. Its totient is φ = 119812933853184.

The previous prime is 122132112202967. The next prime is 122132112203027. The reversal of 122132112203009 is 900302211231221.

It is a cyclic number.

It is not a de Polignac number, because 122132112203009 - 224 = 122132095425793 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122132112203209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54498689 + ... + 56695425.

It is an arithmetic number, because the mean of its divisors is an integer number (7778759094900).

Almost surely, 2122132112203009 is an apocalyptic number.

It is an amenable number.

122132112203009 is a deficient number, since it is larger than the sum of its proper divisors (2328033315391).

122132112203009 is a wasteful number, since it uses less digits than its factorization.

122132112203009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198752.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 122132112203009 in words is "one hundred twenty-two trillion, one hundred thirty-two billion, one hundred twelve million, two hundred three thousand, nine".

Divisors: 1 59 859 1097 50681 64723 942323 2196737 55597057 129607483 1886997083 2409820489 111332827897 142179408851 2070035800051 122132112203009