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122201122020012 = 22327276399068597
BaseRepresentation
bin11011110010010000101010…
…011110000001101010101100
3121000200022110022012002111200
4123302100222132001222230
5112004120344214120022
61111522230452445500
734511511502513500
oct3362205236015254
9530608408162450
10122201122020012
1135a34228670462
1211857490619890
1353256935a0879
1422267cca32300
15e1dae933cbac
hex6f242a781aac

122201122020012 has 108 divisors (see below), whose sum is σ = 359376568190640. Its totient is φ = 34910031868992.

The previous prime is 122201122020001. The next prime is 122201122020059. The reversal of 122201122020012 is 210020221102221.

It is a happy number.

122201122020012 is a `hidden beast` number, since 1 + 2 + 220 + 11 + 220 + 200 + 12 = 666.

It is a super-2 number, since 2×1222011220200122 (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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8940898 + ... + 18009494.

It is an arithmetic number, because the mean of its divisors is an integer number (3327560816580).

Almost surely, 2122201122020012 is an apocalyptic number.

122201122020012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122201122020012 is an abundant number, since it is smaller than the sum of its proper divisors (237175446170628).

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

122201122020012 is a wasteful number, since it uses less digits than its factorization.

122201122020012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9076260 (or 9076248 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122201122020012 its reverse (210020221102221), we get a palindrome (332221343122233).

The spelling of 122201122020012 in words is "one hundred twenty-two trillion, two hundred one billion, one hundred twenty-two million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 7639 15278 22917 30556 45834 53473 68751 91668 106946 137502 160419 213892 275004 320838 374311 481257 641676 748622 962514 1122933 1497244 1925028 2245866 3368799 4491732 6737598 9068597 13475196 18137194 27205791 36274388 54411582 63480179 81617373 108823164 126960358 163234746 190440537 253920716 326469492 380881074 444361253 571321611 761762148 888722506 1142643222 1333083759 1777445012 2285286444 2666167518 3999251277 5332335036 7998502554 15997005108 69275012483 138550024966 207825037449 277100049932 415650074898 484925087381 623475112347 831300149796 969850174762 1246950224694 1454775262143 1939700349524 2493900449388 2909550524286 3394475611667 4364325786429 5819101048572 6788951223334 8728651572858 10183426835001 13577902446668 17457303145716 20366853670002 30550280505003 40733707340004 61100561010006 122201122020012