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122055056001 = 323110129314783
BaseRepresentation
bin111000110101100001…
…1000101101010000001
3102200001020010021100200
41301223003011222001
53444432043243001
6132023223235413
711550431600214
oct1615303055201
9380036107320
10122055056001
114784399610a
121b7a3ba8b69
13b681b9a238
145c9c25377b
1532955e1086
hex1c6b0c5a81

122055056001 has 48 divisors (see below), whose sum is σ = 184430518272. Its totient is φ = 77694192000.

The previous prime is 122055055987. The next prime is 122055056003. The reversal of 122055056001 is 100650550221.

122055056001 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 5 + 50 + 5 + 600 + 1 = 666.

It is not a de Polignac number, because 122055056001 - 26 = 122055055937 is a prime.

It is a super-2 number, since 2×1220550560012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122055056003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8249056 + ... + 8263838.

It is an arithmetic number, because the mean of its divisors is an integer number (3842302464).

Almost surely, 2122055056001 is an apocalyptic number.

It is an amenable number.

122055056001 is a deficient number, since it is larger than the sum of its proper divisors (62375462271).

122055056001 is a wasteful number, since it uses less digits than its factorization.

122055056001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15214 (or 15211 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 122055056001 in words is "one hundred twenty-two billion, fifty-five million, fifty-six thousand, one".

Divisors: 1 3 9 31 93 101 279 293 303 879 909 2637 3131 9083 9393 14783 27249 28179 29593 44349 81747 88779 133047 266337 458273 917383 1374819 1493083 2752149 4124457 4331419 4479249 8256447 12994257 13437747 38982771 46285573 134273989 138856719 402821967 416570157 437473319 1208465901 1312419957 3937259871 13561672889 40685018667 122055056001