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122201111022012 = 223211228053514927
BaseRepresentation
bin11011110010010000101001…
…110100000100100110111100
3121000200022102112111100002100
4123302100221310010212330
5112004120333410201022
61111522225421025100
734511511310156401
oct3362205164044674
9530608375440070
10122201111022012
1135a34222439500
12118574889b5190
13532569121c989
1422267cb3ac2a8
15e1dae83b91ac
hex6f2429d049bc

122201111022012 has 54 divisors (see below), whose sum is σ = 339531691173584. Its totient is φ = 37030639702320.

The previous prime is 122201111021963. The next prime is 122201111022043. The reversal of 122201111022012 is 210220111102221.

122201111022012 is a `hidden beast` number, since 122 + 201 + 1 + 110 + 220 + 12 = 666.

It is a super-2 number, since 2×1222011110220122 (a number of 29 digits) contains 22 as substring.

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 polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14026753108 + ... + 14026761819.

Almost surely, 2122201111022012 is an apocalyptic number.

122201111022012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122201111022012 is an abundant number, since it is smaller than the sum of its proper divisors (217330580151572).

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

122201111022012 is a wasteful number, since it uses less digits than its factorization.

122201111022012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28053514959 (or 28053514943 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122201111022012 its reverse (210220111102221), we get a palindrome (332421222124233).

The spelling of 122201111022012 in words is "one hundred twenty-two trillion, two hundred one billion, one hundred eleven million, twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 28053514927 56107029854 84160544781 112214059708 168321089562 252481634343 308588664197 336642179124 504963268686 617177328394 925765992591 1009926537372 1234354656788 1851531985182 2777297977773 3394475306167 3703063970364 5554595955546 6788950612334 10183425918501 11109191911092 13577901224668 20366851837002 30550277755503 40733703674004 61100555511006 122201111022012