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122010020212120 = 23529173607982959
BaseRepresentation
bin11011101111011110101011…
…111010011110110110011000
3121000000001012002102101211221
4123233132223322132312120
5111443003010133241440
61111254343545501424
734461635020115515
oct3357365372366630
9530001162371757
10122010020212120
1135970182684737
1211826438aa1874
135310659907331
14221b46062430c
15e18b62184d4a
hex6ef7abe9ed98

122010020212120 has 64 divisors (see below), whose sum is σ = 285630394608000. Its totient is φ = 46848734811648.

The previous prime is 122010020212111. The next prime is 122010020212133. The reversal of 122010020212120 is 21212020010221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122010020212094 and 122010020212103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303790800 + ... + 304192159.

It is an arithmetic number, because the mean of its divisors is an integer number (4462974915750).

Almost surely, 2122010020212120 is an apocalyptic number.

122010020212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122010020212120 is an abundant number, since it is smaller than the sum of its proper divisors (163620374395880).

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

122010020212120 is a wasteful number, since it uses less digits than its factorization.

122010020212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607983172 (or 607983168 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122010020212120 its reverse (21212020010221), we get a palindrome (143222040222341).

The spelling of 122010020212120 in words is "one hundred twenty-two trillion, ten billion, twenty million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 173 232 290 346 580 692 865 1160 1384 1730 3460 5017 6920 10034 20068 25085 40136 50170 100340 200680 607982959 1215965918 2431931836 3039914795 4863863672 6079829590 12159659180 17631505811 24319318360 35263011622 70526023244 88157529055 105181051907 141052046488 176315058110 210362103814 352630116220 420724207628 525905259535 705260232440 841448415256 1051810519070 2103621038140 3050250505303 4207242076280 6100501010606 12201002021212 15251252526515 24402004042424 30502505053030 61005010106060 122010020212120