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120034421124140 = 2251715720871077469
BaseRepresentation
bin11011010010101110110001…
…000010000010110000101100
3120202000011211012012022111002
4123102232301002002300230
5111213120443301433030
61103143015105015432
734166125566001565
oct3322566102026054
9522004735168432
10120034421124140
1135279348485246
1211567584924578
1351c927473ca53
14218d9a873116c
15dd258648c245
hex6d2bb1082c2c

120034421124140 has 96 divisors (see below), whose sum is σ = 268729017137280. Its totient is φ = 44880041816064.

The previous prime is 120034421124083. The next prime is 120034421124173. The reversal of 120034421124140 is 41421124430021.

It is a super-2 number, since 2×1200344211241402 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110865326 + ... + 111942794.

It is an arithmetic number, because the mean of its divisors is an integer number (2799260595180).

Almost surely, 2120034421124140 is an apocalyptic number.

120034421124140 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 120034421124140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134364508568640).

120034421124140 is an abundant number, since it is smaller than the sum of its proper divisors (148694596013140).

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

120034421124140 is a wasteful number, since it uses less digits than its factorization.

120034421124140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079739 (or 1079737 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 120034421124140 its reverse (41421124430021), we get a palindrome (161455545554161).

The spelling of 120034421124140 in words is "one hundred twenty trillion, thirty-four billion, four hundred twenty-one million, one hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 157 170 314 340 628 785 1570 2087 2669 3140 4174 5338 8348 10435 10676 13345 20870 26690 35479 41740 53380 70958 141916 177395 327659 354790 655318 709580 1077469 1310636 1638295 2154938 3276590 4309876 5387345 5570203 6553180 10774690 11140406 18316973 21549380 22280812 27851015 36633946 55702030 73267892 91584865 111404060 169162633 183169730 338325266 366339460 676650532 845813165 1691626330 2248677803 2875764761 3383252660 4497355606 5751529522 8994711212 11243389015 11503059044 14378823805 22486778030 28757647610 38227522651 44973556060 57515295220 76455045302 152910090604 191137613255 353042415071 382275226510 706084830142 764550453020 1412169660284 1765212075355 3530424150710 6001721056207 7060848301420 12003442112414 24006884224828 30008605281035 60017210562070 120034421124140