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122111120213 = 18123327710453
BaseRepresentation
bin111000110111001100…
…0111101001101010101
3102200012010121121222222
41301232120331031111
54000040421321323
6132032545032125
711552012252555
oct1615630751525
9380163547888
10122111120213
11478725a8a75
121b7ba925645
13b690699924
145ca5889165
15329a4b79c8
hex1c6e63d355

122111120213 has 16 divisors (see below), whose sum is σ = 123769756656. Its totient is φ = 120467243520.

The previous prime is 122111120203. The next prime is 122111120231. The reversal of 122111120213 is 312021111221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 14636644324 + 107474475889 = 120982^2 + 327833^2 .

It is a cyclic number.

It is not a de Polignac number, because 122111120213 - 228 = 121842684757 is a prime.

It is a super-2 number, since 2×1221111202132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122111120191 and 122111120200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122111120203) 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, 11676695 + ... + 11687147.

It is an arithmetic number, because the mean of its divisors is an integer number (7735609791).

Almost surely, 2122111120213 is an apocalyptic number.

It is an amenable number.

122111120213 is a deficient number, since it is larger than the sum of its proper divisors (1658636443).

122111120213 is a wasteful number, since it uses less digits than its factorization.

122111120213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11144.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 122111120213 its reverse (312021111221), we get a palindrome (434132231434).

The spelling of 122111120213 in words is "one hundred twenty-two billion, one hundred eleven million, one hundred twenty thousand, two hundred thirteen".

Divisors: 1 181 233 277 10453 42173 50137 64541 1891993 2435549 2895481 11681921 440834369 524082061 674647073 122111120213