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122201220102012 = 22329637633522109
BaseRepresentation
bin11011110010010000110000…
…010100001011011101111100
3121000200022201010202011201100
4123302100300110023131330
5112004121044321231022
61111522244315013100
734511514103300032
oct3362206024133574
9530608633664640
10122201220102012
1135a34278a71967
12118574b943a190
1353256aa9c235c
1422267dba84552
15e1db02c641ac
hex6f243050b77c

122201220102012 has 36 divisors (see below), whose sum is σ = 308897936805640. Its totient is φ = 40733686203552.

The previous prime is 122201220101881. The next prime is 122201220102061. The reversal of 122201220102012 is 210201022102221.

It is a happy number.

122201220102012 is a `hidden beast` number, since 12 + 220 + 1 + 220 + 10 + 201 + 2 = 666.

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

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32934414 + ... + 36456522.

Almost surely, 2122201220102012 is an apocalyptic number.

122201220102012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122201220102012 is an abundant number, since it is smaller than the sum of its proper divisors (186696716703628).

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

122201220102012 is a wasteful number, since it uses less digits than its factorization.

122201220102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4485882 (or 4485877 counting only the distinct ones).

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

Adding to 122201220102012 its reverse (210201022102221), we get a palindrome (332402242204233).

The spelling of 122201220102012 in words is "one hundred twenty-two trillion, two hundred one billion, two hundred twenty million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 963763 1927526 2891289 3522109 3855052 5782578 7044218 8673867 10566327 11565156 14088436 17347734 21132654 31698981 34695468 42265308 63397962 126795924 3394478336167 6788956672334 10183435008501 13577913344668 20366870017002 30550305025503 40733740034004 61100610051006 122201220102012