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122014402420212 = 22328317407513401
BaseRepresentation
bin11011101111100010110001…
…000111010001110111110100
3121000000110111111022122020100
4123233202301013101313310
5111443040444004421322
61111300350451434100
734462151431222431
oct3357426107216764
9530013444278210
10122014402420212
1135972021291515
12118272605b5930
135310ba777ac83
14221b75862ab88
15e18d1bc56dac
hex6ef8b11d1df4

122014402420212 has 36 divisors (see below), whose sum is σ = 308462379483076. Its totient is φ = 40666577212800.

The previous prime is 122014402420159. The next prime is 122014402420217. The reversal of 122014402420212 is 212024204410221.

122014402420212 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 1 + 4 + 402 + 42 + 0 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62647161680016 + 59367240740196 = 7914996^2 + 7705014^2 .

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

It is a super-2 number, since 2×1220144024202122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122014402420217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203457289 + ... + 204056112.

Almost surely, 2122014402420212 is an apocalyptic number.

122014402420212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122014402420212 is an abundant number, since it is smaller than the sum of its proper divisors (186447977062864).

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

122014402420212 is a wasteful number, since it uses less digits than its factorization.

122014402420212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407521728 (or 407521723 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 122014402420212 its reverse (212024204410221), we get a palindrome (334038606830433).

The spelling of 122014402420212 in words is "one hundred twenty-two trillion, fourteen billion, four hundred two million, four hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 8317 16634 24951 33268 49902 74853 99804 149706 299412 407513401 815026802 1222540203 1630053604 2445080406 3667620609 4890160812 7335241218 14670482436 3389288956117 6778577912234 10167866868351 13557155824468 20335733736702 30503600605053 40671467473404 61007201210106 122014402420212