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122002111211094 = 23343523110044317
BaseRepresentation
bin11011101111010111010100…
…100000000010011001010110
3120222222021202220020112002000
4123233113110200002121112
5111442340310432223334
61111250555100300130
734461235022531502
oct3357272440023126
9528867686215060
10122002111211094
1135967894210154
12118249b0241646
13530c9991a5a7a
14221ad10087302
15e1884cb62299
hex6ef5d4802656

122002111211094 has 64 divisors (see below), whose sum is σ = 277473882977280. Its totient is φ = 39714020146080.

The previous prime is 122002111211093. The next prime is 122002111211117. The reversal of 122002111211094 is 490112111200221.

122002111211094 is a `hidden beast` number, since 1 + 220 + 0 + 211 + 121 + 109 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122002111211093) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7124224 + ... + 17168540.

It is an arithmetic number, because the mean of its divisors is an integer number (4335529421520).

Almost surely, 2122002111211094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122002111211094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138736941488640).

122002111211094 is an abundant number, since it is smaller than the sum of its proper divisors (155471771766186).

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

122002111211094 is a wasteful number, since it uses less digits than its factorization.

122002111211094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10049602 (or 10049596 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 122002111211094 in words is "one hundred twenty-two trillion, two billion, one hundred eleven million, two hundred eleven thousand, ninety-four".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 387 774 1161 2322 5231 10462 15693 31386 47079 94158 141237 224933 282474 449866 674799 1349598 2024397 4048794 6073191 10044317 12146382 20088634 30132951 60265902 90398853 180797706 271196559 431905631 542393118 863811262 1295716893 2591433786 3887150679 7774301358 11661452037 23322904074 52541822227 105083644454 157625466681 315250933362 472876400043 945752800086 1418629200129 2259298355761 2837258400258 4518596711522 6777895067283 13555790134566 20333685201849 40667370403698 61001055605547 122002111211094