Search a number
-
+
122020524024 = 2337326955103
BaseRepresentation
bin111000110100011111…
…1010110111111111000
3102122221211010212101120
41301220333112333320
53444344223232044
6132015551145240
711546532225000
oct1615077267770
9378854125346
10122020524024
114782644a793
121b794515220
13b677999509
145c97825000
15329256e519
hex1c68fd6ff8

122020524024 has 128 divisors (see below), whose sum is σ = 357073920000. Its totient is φ = 34732774272.

The previous prime is 122020524023. The next prime is 122020524029. The reversal of 122020524024 is 420425020221.

It is a super-2 number, since 2×1220205240242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 122020523985 and 122020524003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122020524023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2186857 + ... + 2241959.

It is an arithmetic number, because the mean of its divisors is an integer number (2789640000).

Almost surely, 2122020524024 is an apocalyptic number.

122020524024 is a gapful number since it is divisible by the number (14) 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 122020524024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178536960000).

122020524024 is an abundant number, since it is smaller than the sum of its proper divisors (235053395976).

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

122020524024 is a wasteful number, since it uses less digits than its factorization.

122020524024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55402 (or 55384 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 122020524024 its reverse (420425020221), we get a palindrome (542445544245).

The spelling of 122020524024 in words is "one hundred twenty-two billion, twenty million, five hundred twenty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 269 294 343 392 538 588 686 807 1029 1076 1176 1372 1614 1883 2058 2152 2744 3228 3766 4116 5649 6456 7532 8232 11298 13181 15064 22596 26362 39543 45192 52724 55103 79086 92267 105448 110206 158172 165309 184534 220412 276801 316344 330618 369068 385721 440824 553602 661236 738136 771442 1107204 1157163 1322472 1542884 2214408 2314326 2700047 3085768 4628652 5400094 8100141 9257304 10800188 14822707 16200282 18900329 21600376 29645414 32400564 37800658 44468121 56700987 59290828 64801128 75601316 88936242 103758949 113401974 118581656 151202632 177872484 207517898 226803948 311276847 355744968 415035796 453607896 622553694 726312643 830071592 1245107388 1452625286 2178937929 2490214776 2905250572 4357875858 5084188501 5810501144 8715751716 10168377002 15252565503 17431503432 20336754004 30505131006 40673508008 61010262012 122020524024