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122003113212 = 22327514512617
BaseRepresentation
bin111000110011111110…
…0111100010011111100
3102122220121101022020200
41301213330330103330
53444330244110322
6132014130043500
711546231231421
oct1614774742374
9378817338220
10122003113212
1147817638792
121b78a719590
13b6741b1766
145c953b1d48
153290c808ac
hex1c67f3c4fc

122003113212 has 36 divisors (see below), whose sum is σ = 308807474976. Its totient is φ = 40613544000.

The previous prime is 122003113159. The next prime is 122003113237. The reversal of 122003113212 is 212311300221.

122003113212 is a `hidden beast` number, since 12 + 20 + 0 + 311 + 321 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2229273 + ... + 2283344.

It is an arithmetic number, because the mean of its divisors is an integer number (8577985416).

Almost surely, 2122003113212 is an apocalyptic number.

122003113212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122003113212 is an abundant number, since it is smaller than the sum of its proper divisors (186804361764).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122003113212 is a wasteful number, since it uses less digits than its factorization.

122003113212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4513378 (or 4513373 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122003113212 its reverse (212311300221), we get a palindrome (334314413433).

The spelling of 122003113212 in words is "one hundred twenty-two billion, three million, one hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 751 1502 2253 3004 4506 6759 9012 13518 27036 4512617 9025234 13537851 18050468 27075702 40613553 54151404 81227106 162454212 3388975367 6777950734 10166926101 13555901468 20333852202 30500778303 40667704404 61001556606 122003113212