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120837000606 = 2377157770229
BaseRepresentation
bin111000010001001110…
…0100100110110011110
3102112220100010122110220
41300202130210312132
53434433233004411
6131302312142210
711505311362260
oct1604234446636
9375810118426
10120837000606
1147279378063
121b504097966
13b5197237ba
145bc4583b30
1532236dab06
hex1c22724d9e

120837000606 has 64 divisors (see below), whose sum is σ = 280578401280. Its totient is φ = 33979115520.

The previous prime is 120837000601. The next prime is 120837000617. The reversal of 120837000606 is 606000738021.

120837000606 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

120837000606 is a nontrivial binomial coefficient, being equal to C(491604, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120837000601) 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, 1685500 + ... + 1755728.

It is an arithmetic number, because the mean of its divisors is an integer number (4384037520).

Almost surely, 2120837000606 is an apocalyptic number.

120837000606 is the 491603-rd triangular number and also the 245802-nd hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120837000606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140289200640).

120837000606 is an abundant number, since it is smaller than the sum of its proper divisors (159741400674).

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

120837000606 is a wasteful number, since it uses less digits than its factorization.

120837000606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70889.

The product of its (nonzero) digits is 12096, while the sum is 33.

Adding to 120837000606 its reverse (606000738021), we get a palindrome (726837738627).

The spelling of 120837000606 in words is "one hundred twenty billion, eight hundred thirty-seven million, six hundred six", and thus it is an aban number.

Divisors: 1 2 3 6 7 14 21 42 71 142 213 426 497 577 994 1154 1491 1731 2982 3462 4039 8078 12117 24234 40967 70229 81934 122901 140458 210687 245802 286769 421374 491603 573538 860307 983206 1474809 1720614 2949618 4986259 9972518 14958777 29917554 34903813 40522133 69807626 81044266 104711439 121566399 209422878 243132798 283654931 567309862 850964793 1701929586 2877071443 5754142886 8631214329 17262428658 20139500101 40279000202 60418500303 120837000606