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123121243115440 = 24513919756203321
BaseRepresentation
bin11011111111101001100101…
…111101011100111110110000
3121010221021110010100201200121
4123333221211331130332300
5112114204301214143230
61113505041313100024
734635134116004023
oct3377514575347660
9533837403321617
10123121243115440
1136259475a7a039
121198587b257614
13539138b852cab
1422591584231ba
15e379ed05577a
hex6ffa65f5cfb0

123121243115440 has 80 divisors (see below), whose sum is σ = 289779831966240. Its totient is φ = 48645996779520.

The previous prime is 123121243115407. The next prime is 123121243115509. The reversal of 123121243115440 is 44511342121321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 123121243115396 and 123121243115405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25911021 + ... + 30292300.

It is an arithmetic number, because the mean of its divisors is an integer number (3622247899578).

Almost surely, 2123121243115440 is an apocalyptic number.

123121243115440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123121243115440 is an abundant number, since it is smaller than the sum of its proper divisors (166658588850800).

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

123121243115440 is a wasteful number, since it uses less digits than its factorization.

123121243115440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56203670 (or 56203664 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

Adding to 123121243115440 its reverse (44511342121321), we get a palindrome (167632585236761).

The spelling of 123121243115440 in words is "one hundred twenty-three trillion, one hundred twenty-one billion, two hundred forty-three million, one hundred fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139 197 278 394 556 695 788 985 1112 1390 1576 1970 2224 2780 3152 3940 5560 7880 11120 15760 27383 54766 109532 136915 219064 273830 438128 547660 1095320 2190640 56203321 112406642 224813284 281016605 449626568 562033210 899253136 1124066420 2248132840 4496265680 7812261619 11072054237 15624523238 22144108474 31249046476 39061308095 44288216948 55360271185 62498092952 78122616190 88576433896 110720542370 124996185904 156245232380 177152867792 221441084740 312490464760 442882169480 624980929520 885764338960 1539015538943 3078031077886 6156062155772 7695077694715 12312124311544 15390155389430 24624248623088 30780310778860 61560621557720 123121243115440