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122200223121 = 32371672197411
BaseRepresentation
bin111000111001110110…
…0110110110110010001
3102200102100021112012200
41301303230312312101
54000231224114441
6132045450513413
711554143521034
oct1616354666621
9380370245180
10122200223121
1147908927339
121b824735869
13b6a5c96442
145cb364101b
1532a32187b6
hex1c73b36d91

122200223121 has 24 divisors (see below), whose sum is σ = 182367616704. Its totient is φ = 78790332960.

The previous prime is 122200223077. The next prime is 122200223143. The reversal of 122200223121 is 121322002221.

122200223121 is a `hidden beast` number, since 122 + 200 + 223 + 121 = 666.

It is not a de Polignac number, because 122200223121 - 210 = 122200222097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122200223094 and 122200223103.

It is not an unprimeable number, because it can be changed into a prime (122200723121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1043095 + ... + 1154316.

It is an arithmetic number, because the mean of its divisors is an integer number (7598650696).

Almost surely, 2122200223121 is an apocalyptic number.

It is an amenable number.

122200223121 is a deficient number, since it is larger than the sum of its proper divisors (60167393583).

122200223121 is a wasteful number, since it uses less digits than its factorization.

122200223121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197621 (or 2197618 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122200223121 its reverse (121322002221), we get a palindrome (243522225342).

The spelling of 122200223121 in words is "one hundred twenty-two billion, two hundred million, two hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 9 37 111 167 333 501 1503 6179 18537 55611 2197411 6592233 19776699 81304207 243912621 366967637 731737863 1100902911 3302708733 13577802569 40733407707 122200223121