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122042113140 = 223553124930727
BaseRepresentation
bin111000110101001000…
…1101101110001110100
3102200000022202201002110
41301222101231301310
53444420240110030
6132022042011020
711550213563013
oct1615221556164
9380008681073
10122042113140
1147837655a32
121b79b7a6a70
13b67c2b803c
145c9a644a7a
1532943d61b0
hex1c6a46dc74

122042113140 has 96 divisors (see below), whose sum is σ = 348455520000. Its totient is φ = 31903911936.

The previous prime is 122042113121. The next prime is 122042113163. The reversal of 122042113140 is 41311240221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3956457 + ... + 3987183.

It is an arithmetic number, because the mean of its divisors is an integer number (3629745000).

Almost surely, 2122042113140 is an apocalyptic number.

122042113140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122042113140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174227760000).

122042113140 is an abundant number, since it is smaller than the sum of its proper divisors (226413406860).

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

122042113140 is a wasteful number, since it uses less digits than its factorization.

122042113140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32041 (or 32039 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 122042113140 its reverse (41311240221), we get a palindrome (163353353361).

The spelling of 122042113140 in words is "one hundred twenty-two billion, forty-two million, one hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1249 1590 2498 3180 3747 4996 6245 7494 12490 14988 18735 24980 30727 37470 61454 66197 74940 92181 122908 132394 153635 184362 198591 264788 307270 330985 368724 397182 460905 614540 661970 794364 921810 992955 1323940 1628531 1843620 1985910 3257062 3971820 4885593 6514124 8142655 9771186 16285310 19542372 24427965 32570620 38378023 48855930 76756046 97711860 115134069 153512092 191890115 230268138 383780230 460536276 575670345 767560460 1151340690 2034035219 2302681380 4068070438 6102105657 8136140876 10170176095 12204211314 20340352190 24408422628 30510528285 40680704380 61021056570 122042113140