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122211020120 = 2357866350383
BaseRepresentation
bin111000111010001011…
…0000010110101011000
3102200110002121001220112
41301310112002311120
54000242010120440
6132050514143452
711554334350130
oct1616426026530
9380402531815
10122211020120
1147913a31282
121b828281b88
13b6a82a69b7
145cb4c51ac0
1532a414c965
hex1c74582d58

122211020120 has 64 divisors (see below), whose sum is σ = 314299422720. Its totient is φ = 41895252864.

The previous prime is 122211020117. The next prime is 122211020131. The reversal of 122211020120 is 21020112221.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 122211020095 and 122211020104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2400449 + ... + 2450831.

It is an arithmetic number, because the mean of its divisors is an integer number (4910928480).

Almost surely, 2122211020120 is an apocalyptic number.

122211020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122211020120 is an abundant number, since it is smaller than the sum of its proper divisors (192088402600).

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

122211020120 is a wasteful number, since it uses less digits than its factorization.

122211020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59064 (or 59060 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122211020120 its reverse (21020112221), we get a palindrome (143231132341).

The spelling of 122211020120 in words is "one hundred twenty-two billion, two hundred eleven million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 8663 17326 34652 43315 50383 60641 69304 86630 100766 121282 173260 201532 242564 251915 303205 346520 352681 403064 485128 503830 606410 705362 1007660 1212820 1410724 1763405 2015320 2425640 2821448 3526810 7053620 14107240 436467929 872935858 1745871716 2182339645 3055275503 3491743432 4364679290 6110551006 8729358580 12221102012 15276377515 17458717160 24442204024 30552755030 61105510060 122211020120