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122102211320 = 23529635916553
BaseRepresentation
bin111000110110111011…
…0111110001011111000
3102200011111212000021222
41301231312332023320
54000031131230240
6132032030051212
711551543446245
oct1615566761370
9380144760258
10122102211320
1147868573651
121b7b7949b08
13b68b89a8ab
145ca460a5cc
153299807eb5
hex1c6ddbe2f8

122102211320 has 64 divisors (see below), whose sum is σ = 284265288000. Its totient is φ = 47146451968.

The previous prime is 122102211311. The next prime is 122102211337. The reversal of 122102211320 is 23112201221.

122102211320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1221022113202 (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 7368164 + ... + 7384716.

It is an arithmetic number, because the mean of its divisors is an integer number (4441645125).

Almost surely, 2122102211320 is an apocalyptic number.

122102211320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122102211320 is an abundant number, since it is smaller than the sum of its proper divisors (162163076680).

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

122102211320 is a wasteful number, since it uses less digits than its factorization.

122102211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22952 (or 22948 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 122102211320 its reverse (23112201221), we get a palindrome (145214412541).

The spelling of 122102211320 in words is "one hundred twenty-two billion, one hundred two million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 6359 12718 16553 25436 31795 33106 50872 63590 66212 82765 127180 132424 165530 184411 254360 331060 368822 480037 662120 737644 922055 960074 1475288 1844110 1920148 2400185 3688220 3840296 4800370 7376440 9600740 19201480 105260527 210521054 421042108 526302635 842084216 1052605270 2105210540 3052555283 4210421080 6105110566 12210221132 15262776415 24420442264 30525552830 61051105660 122102211320