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122042011320 = 233251093110143
BaseRepresentation
bin111000110101001000…
…1010100111010111000
3102200000022120112102100
41301222101110322320
53444420223330240
6132022035503400
711550212660115
oct1615221247270
9380008515370
10122042011320
1147837596489
121b79b757b60
13b67c2808a8
145c9a61990c
1532943b5e30
hex1c6a454eb8

122042011320 has 96 divisors (see below), whose sum is σ = 400275532800. Its totient is φ = 32245952256.

The previous prime is 122042011303. The next prime is 122042011363. The reversal of 122042011320 is 23110240221.

It is a happy number.

122042011320 is a `hidden beast` number, since 1 + 220 + 420 + 1 + 1 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122042011293 and 122042011302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1515832 + ... + 1594311.

It is an arithmetic number, because the mean of its divisors is an integer number (4169536800).

Almost surely, 2122042011320 is an apocalyptic number.

122042011320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122042011320 is an abundant number, since it is smaller than the sum of its proper divisors (278233521480).

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

122042011320 is a wasteful number, since it uses less digits than its factorization.

122042011320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3110269 (or 3110262 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122042011320 its reverse (23110240221), we get a palindrome (145152251541).

The spelling of 122042011320 in words is "one hundred twenty-two billion, forty-two million, eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 109 120 180 218 327 360 436 545 654 872 981 1090 1308 1635 1962 2180 2616 3270 3924 4360 4905 6540 7848 9810 13080 19620 39240 3110143 6220286 9330429 12440572 15550715 18660858 24881144 27991287 31101430 37321716 46652145 55982574 62202860 74643432 93304290 111965148 124405720 139956435 186608580 223930296 279912870 339005587 373217160 559825740 678011174 1017016761 1119651480 1356022348 1695027935 2034033522 2712044696 3051050283 3390055870 4068067044 5085083805 6102100566 6780111740 8136134088 10170167610 12204201132 13560223480 15255251415 20340335220 24408402264 30510502830 40680670440 61021005660 122042011320