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12612425155440 = 2435112434312161
BaseRepresentation
bin1011011110001000111100…
…0111110000001101110000
31122122201212121001110020220
42313202033013300031300
53123120221314433230
642454022414333040
72441134436646345
oct267421707601560
948581777043226
1012612425155440
114022999216600
1214b84577ba180
137064675c0076
143186321127cc
1516d1289e0d10
hexb788f1f0370

12612425155440 has 120 divisors (see below), whose sum is σ = 42976057054224. Its totient is φ = 3057557606400.

The previous prime is 12612425155397. The next prime is 12612425155459. The reversal of 12612425155440 is 4455152421621.

12612425155440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 12612425155392 and 12612425155401.

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, 217127041 + ... + 217185120.

Almost surely, 212612425155440 is an apocalyptic number.

12612425155440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12612425155440 is an abundant number, since it is smaller than the sum of its proper divisors (30363631898784).

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

12612425155440 is a wasteful number, since it uses less digits than its factorization.

12612425155440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434312199 (or 434312182 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 42.

The spelling of 12612425155440 in words is "twelve trillion, six hundred twelve billion, four hundred twenty-five million, one hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 121 132 165 176 220 240 242 264 330 363 440 484 528 605 660 726 880 968 1210 1320 1452 1815 1936 2420 2640 2904 3630 4840 5808 7260 9680 14520 29040 434312161 868624322 1302936483 1737248644 2171560805 2605872966 3474497288 4343121610 4777433771 5211745932 6514682415 6948994576 8686243220 9554867542 10423491864 13029364830 14332301313 17372486440 19109735084 20846983728 23887168855 26058729660 28664602626 34744972880 38219470168 47774337710 52117459320 52551771481 57329205252 71661506565 76438940336 95548675420 104234918640 105103542962 114658410504 143323013130 157655314443 191097350840 210207085924 229316821008 262758857405 286646026260 315310628886 382194701680 420414171848 525517714810 573292052520 630621257772 788276572215 840828343696 1051035429620 1146584105040 1261242515544 1576553144430 2102070859240 2522485031088 3153106288860 4204141718480 6306212577720 12612425155440