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122112220220120 = 23513311755084221
BaseRepresentation
bin11011110000111101110111…
…100000100100101011011000
3121000100210222120202201201102
4123300331313200210223120
5112001141311334020440
61111413325102410532
734502213436625514
oct3360756740445330
9530323876681642
10122112220220120
11359aa557945369
12118421bb590a48
13531a19614bc50
142222397925144
15e1b6445ddb15
hex6f0f77824ad8

122112220220120 has 64 divisors (see below), whose sum is σ = 296838709352640. Its totient is φ = 44942612774400.

The previous prime is 122112220220027. The next prime is 122112220220129. The reversal of 122112220220120 is 21022022211221.

It is a super-2 number, since 2×1221122202201202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122112220220092 and 122112220220101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112220220129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377380391 + ... + 377703830.

It is an arithmetic number, because the mean of its divisors is an integer number (4638104833635).

Almost surely, 2122112220220120 is an apocalyptic number.

122112220220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112220220120 is an abundant number, since it is smaller than the sum of its proper divisors (174726489132520).

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

122112220220120 is a wasteful number, since it uses less digits than its factorization.

122112220220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755084556 (or 755084552 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 122112220220120 its reverse (21022022211221), we get a palindrome (143134242431341).

The spelling of 122112220220120 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred twenty million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 311 520 622 1244 1555 2488 3110 4043 6220 8086 12440 16172 20215 32344 40430 80860 161720 755084221 1510168442 3020336884 3775421105 6040673768 7550842210 9816094873 15101684420 19632189746 30203368840 39264379492 49080474365 78528758984 98160948730 196321897460 234831192731 392643794920 469662385462 939324770924 1174155963655 1878649541848 2348311927310 3052805505503 4696623854620 6105611011006 9393247709240 12211222022012 15264027527515 24422444044024 30528055055030 61056110110060 122112220220120