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120606348000 = 2535310050529
BaseRepresentation
bin111000001010010110…
…0101101001011100000
3102112022021010021120210
41300110230231023200
53434000211114000
6131223352334120
711466511020555
oct1602454551340
9375267107523
10120606348000
1147170159376
121b45a9a4340
13b4b09c6478
145ba1aa2a2c
15320d329350
hex1c14b2d2e0

120606348000 has 96 divisors (see below), whose sum is σ = 395106435360. Its totient is φ = 32161689600.

The previous prime is 120606347987. The next prime is 120606348001. The reversal of 120606348000 is 843606021.

120606348000 is digitally balanced in base 3, 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120606348001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5013265 + ... + 5037264.

It is an arithmetic number, because the mean of its divisors is an integer number (4115692035).

Almost surely, 2120606348000 is an apocalyptic number.

120606348000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120606348000 is an abundant number, since it is smaller than the sum of its proper divisors (274500087360).

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

120606348000 is a wasteful number, since it uses less digits than its factorization.

120606348000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10050557 (or 10050539 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 120606348000 in words is "one hundred twenty billion, six hundred six million, three hundred forty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 10050529 20101058 30151587 40202116 50252645 60303174 80404232 100505290 120606348 150757935 160808464 201010580 241212696 251263225 301515870 321616928 402021160 482425392 502526450 603031740 753789675 804042320 964850784 1005052900 1206063480 1256316125 1507579350 1608084640 2010105800 2412126960 2512632250 3015158700 3768948375 4020211600 4824253920 5025264500 6030317400 7537896750 8040423200 10050529000 12060634800 15075793500 20101058000 24121269600 30151587000 40202116000 60303174000 120606348000